O objetivo principal deste trabalho é discutir estimação e diagnóstico em modelos semiparamétricos com resposta binomial negativa, mais especificamente, modelos de regressão com resposta binomial negativa em que uma das variáveis explicativas contínuas é modelada de forma não paramétrica. Iniciamos o trabalho com um exemplo ilustrativo e fazemos uma breve revisão dos modelos paramétricos com resposta binomial negativa. Em seguida, introduzimos os modelos semiparamétricos com resposta binomial negativa e discutimos alguns aspectos de estimação, inferência e seleção de modelos. Dedicamos um capítulo a procedimentos de diagnóstico, tais como desenvolvimento de medidas de alavanca e de influência sob os aspectos de deleção de pontos e influência local, além de abordar a análise de resíduos. Reanalizamos o exemplo ilustrativo sob o enfoque semiparamétrico e apresentamos algumas conclusões. / The aim of this work is to discuss some aspects on estimation and diagnostics in negative binomial regression models which an explanatory continuous variable is modeled nonparametrically. First, an illustrative example is presented and analyzed under parametric negative binomial regression models. The proposed models are then introduced and some aspects on estimations, inference and model selection are presented. Particular emphasis is given on the development of diagnostic procedures, such as leverage measures, Cook distances, local influence approach and residuals. The motivated example is reanalyzed under the semiparametric viewpoint and some conclusions are given.

Left-turning maneuvers are considered to be the highest risk movements at intersections and two-thirds of the crashes associated with left-turns are reported at signalized intersections. Left-turning vehicles typically encounter conflicts from opposing through traffic. To separate conflicting movements, transportation agencies use a protected-only phase at signalized intersections where each movement is allowed to move alone. However, this could create delays and thus the concept of a protected-permissive phase has been introduced to balance safety and delays. However, the permissive part of this phasing scheme retains the safety concerns and could increase the possibility of conflicts resulting in crashes. This research developed a model that can predict the number of crashes for protected-permissive left-turn phasing, based on traffic volumes and calculated conflicts. A total of 103 intersections with permissive-protected left-turn phasing in Kentucky were simulated and their left-turn related conflicts were obtained from post processing vehicle trajectories through the Surrogate Safety Assessment Model (SSAM). Factors that could affect crash propensity were identified through the Principal Component Analysis in Negative Binomial Regression. Nomographs were developed from the models which can be used by traffic engineers in left-turn phasing decisions with enhanced safety considerations.

A random search optimization method based off an analogous process for the slow cooling of metals is explored and used to find the optimum solution for a number of regression models that analyze nuclear, radiological, biological,and chemical terrorism targets. A non-parametric simulation based off of historical data is also explored. Simulated series of 30 years and a 30 year extrapolation of historical data are provided. The inclusion of independent variables used in the regression analysis is based off existing work in the reviewed literature. CBRN terrorism data is collected from both the Monterey Institute's Weapons of Mass Destruction Terrorism Database as well as from the START Global Terrorism Database. Building similar models to those found in the literature and running them against CBRN terrorism incidence data determines if conventional terrorism indicator variables are also significant predictors of CBRN terrorism targets. The negative binomial model was determined to be the best regression model available for the data analysis. Two general types of models are developed, including an economic development model and a political risk model. From the economic development model we find that national GDP, GDP per capita, trade openness, and democracy to significant indicators of CBRN terrorism targets. Additionally from the political risk model we find corrupt, stable, and democratic regimes more likely to experience a CBRN event. We do not find language/religious fractionalization to be a significant predictive variable. Similarly we do not find ethnic tensions, involvement in external conflict, or a military government to have significant predictive value.

The gravity model for international trade is one of the most successful empirical models in trade literature. There is a long tradition to log-linearise the multiplicative model and to estimate the parameters of interest by least squares. But this practice is inappropriate for several reasons. First of all, bilateral trade flows are frequently zero and disregarding countries that do not trade with each other produces biased results. Second, log-linearisation in the presence of heteroscedasticity leads to inconsistent estimates in general. In recent years, the Poisson gravity model along with pseudo maximum likelihood estimation methods have become popular as a way of dealing with such econometric issues as arise when dealing with origin-destination flows. But the standard Poisson model specification is vulnerable to problems of overdispersion and excess zero flows. To overcome these problems, this paper presents zero-inflated extensions of the Poisson and negative binomial specifications as viable alternatives to both the log-linear and the standard Poisson specifications of the gravity model. The performance of the alternative model specifications is assessed on a real world example, where more than half of country-level trade flows are zero. (authors' abstract) / Series: Working Papers in Regional Science

Submitted by LEANDRO APARECIDO DE SOUZA null (leandroagronomia@hotmail.com) on 2016-02-22T12:53:07Z No. of bitstreams: 1 Tese_Leandro_Aparecido_de_Souza.pdf: 2395550 bytes, checksum: 58c15ef61c30517df1e5d1ab6887300c (MD5) / Approved for entry into archive by Ana Paula Grisoto (grisotoana@reitoria.unesp.br) on 2016-02-23T13:13:54Z (GMT) No. of bitstreams: 1 souza_la_dr_jabo.pdf: 2395550 bytes, checksum: 58c15ef61c30517df1e5d1ab6887300c (MD5) / Made available in DSpace on 2016-02-23T13:13:54Z (GMT). No. of bitstreams: 1 souza_la_dr_jabo.pdf: 2395550 bytes, checksum: 58c15ef61c30517df1e5d1ab6887300c (MD5) Previous issue date: 2016-02-01 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) / O percevejo-marrom-da-soja Euschistus heros, destaca-se como uma das principais pragas da cultura, sendo fundamental realizar amostragens periódicas para aferir a densidade populacional e auxiliar na tomada de decisão de controle. O objetivo do presente trabalho foi estudar a dinâmica populacional e a distribuição espacial de E. heros em cultivares de soja transgênica de diferentes ciclos de desenvolvimento, visando o desenvolvimento de um plano de amostragem sequencial. Os experimentos foram conduzidos nos anos agrícolas 2013/14 e 2014/15 na FCAV/UNESP, Jaboticabal, SP. Foram selecionados quatro campos, e em cada um foi demarcada uma área de 8.000 m2 (0,8 ha), sendo cada área subdividida em 80 parcelas de 100 m2 (10 m x 10 m). As cultivares de soja transgênica de diferentes ciclos de desenvolvimento utilizadas foram: SYN 1365 RR (precoce), M 7908 RR (média); BRS Valiosa RR (tardia), e a cultivar AS 3730 RR2 PRO (precoce), transgênica resistente a lagartas. As amostragens foram realizadas semanalmente pelo método da batida de pano, em 2 m de linha de plantas, registrando-se o número de ninfas, adultos e percevejos maiores que 0,5 cm. Foram confeccionadas figuras para demonstrar a dinâmica populacional entre os dados médios de infestação do inseto-praga e o estágio fenológico da cultura, sendo a influência dos fatores meteorológicos analisada por meio da análise de regressão múltipla com seleção de variáveis pelo método “stepwise”. Para o estudo da dispersão de E. heros foram utilizados os seguintes índices: razão variância/média, índice de Morisita, coeficiente de Green e o expoente k da distribuição binomial negativa. Para os estudos dos modelos de distribuição espacial de E. heros foram testados os ajustes das distribuições de Poisson e distribuição binomial negativa. O plano de amostragem sequencial foi elaborado para os dados de percevejos maiores que 0,5 cm com base no Teste Sequencial da Razão da Máxima Verossimilhança, e foi utilizado o nível de controle de 4,0 e 2,0 percevejos maiores que 0,5 cm/pano de batida para campos de produção de grãos e sementes, respectivamente. De acordo com os resultados da dinâmica populacional, as maiores densidades populacionais de E. heros foram observadas no estádio fenológico R6 da soja, e a temperatura máxima é o fator meteorológico que mais influenciou na variação da densidade populacional de E. heros. A distribuição espacial de ninfas, adultos e percevejos maiores que 0,5 cm foi agregada para todas as cultivares em estudo, com melhor ajuste à distribuição binomial negativa. No plano de amostragem sequencial, o número máximo de unidades amostrais esperado, para tomada de decisão de controle, encontra-se em torno de seis e dez para campos de produção de grãos e sementes, respectivamente. / The neotropical stink bug Euschistus heros is one of the most important species of pests in soybean culture, so it is essential to realize periodic samples to measure the population density and help in the decision making control. The objective of this work was to study the population dynamics and spatial distribution of E. heros in transgenic soybean cultivars of different maturing cycles that helps the development of a sequential sampling plan. The experiments were carried out in seasons 2013/14 and 2014/15 in FCAV / UNESP, Jaboticabal, SP. Four fields were selected, and in each one was marked an area of 8.000 m2 (0.8 ha) divided into 80 splits of 100 m2 (10 m x 10 m). The transgenic soybean cultivars of different maturing cycles were: SYN 1365 RR (early), M 7908 RR (middle), BRS Valiosa RR (late), and the cultivar AS 3730 RR2 Pro (early), transgenic resistant to larvae. Samples were taken weekly using the ground-shake method, in 2 m line of plants, where were recorded the number of nymphs, adults and nymphs of higher than 0.5 cm E. heros. The figures were plot to demonstrate the population dynamics between the mean data of insect pest infestation and the phenological stage of culture, and the influence of meteorological factors analyzed using multiple regression analysis with selection of variables using the stepwise method. To evaluate insect dispersion in the area, the following indexes were used: variance/mean ratio, Morisita’s index, Green’s coefficient, and the k exponent of negative binomial distribution. For studies of spatial distribution models of E. heros, adjustments of Poisson distribution and negative binomial distribution were tested. The sequential sampling plan was developed for E. heros higher than 0.5 cm based on the ratio of the Sequential Test Maximum Likelihood, and it was used the threshold levels of 4.0 and 2.0 E. heros higher than 0.5 cm for grain and seed production fields, respectively. According to the results of population dynamics, the highest population densities of E. heros were observed in the R6 growth stage of soybeans, and the maximum temperature is the weather factor that influenced the variation in population densities of E. heros. The spatial distribution of nymphs, adults, and nymphs higher than 0.5 cm was aggregated for all the cultivars in study, with best adjustment to the negative binomial distribution. In the sequential sampling plan, the maximum number of expected sampling units to control is around six and ten to grain and seed production fields, respectively.

Made available in DSpace on 2014-06-11T19:25:18Z (GMT). No. of bitstreams: 0 Previous issue date: 2009-07-31Bitstream added on 2014-06-13T20:32:40Z : No. of bitstreams: 1 volpe_hxl_me_jabo.pdf: 702821 bytes, checksum: 43e3858ad875276bff4de70b0a19e5db (MD5) / Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) / distribuição espacial do parasitismo, número de machos, fêmeas e total de adultos emergidos da geração F2 do parasitóide larval de Diatraea saccharalis (Fabricius), Cotesia flavipes (Cameron), foi estudada em um talhão comercial de 100x105 m de cana-de-açúcar da variedade CTC 3, com 7 meses, dividido em 100 parcelas de 105 m2, usando a metodologia de liberação de 4 pontos por hectare, com 1500 parasitóides espaçados 50 m entre eles. Em cada parcela foram colocados 10 colmos de cana com uma larva de D. saccharalis em seu interior fixados no solo para avaliação do parasitismo e número de insetos emergidos. Os índices de dispersão utilizados foram: razão variância/média (I), índice de Morisita (Iδ), coeficiente de Green (Cx) e expoente k da distribuição binomial negativa. A distribuição binomial negativa foi o modelo mais adequado para representar a distribuição de freqüência do parasitóide, já que a variância foi superior à média para todas as variáveis avaliadas. A análise dos índices de agregação mostrou que esse inseto se distribui de maneira agregada no campo. O uso da Geoestatística permitiu quantificar e mapear a distribuição de C. flavipes, mostrando ser uma ferramenta útil para teste de metodologias de liberação desse parasitóide. / The spatial distribution of the parasitism, number of males, females and total of adults emerged of the F2 generation of the Diatraea saccharalis (Fabricius), larval parasitoid of Cotesia flavipes (Cameron), was studied in a commercial stand of extension of 100x105 m of sugarcane variety CTC 3, with 7 months old, divided into 100 plots with 105 square meters using the liberation methodology of 4 points per hectare, with 1,500 parasitoids spaced 50 m between them. The plot contained 10 stems with one D. saccharalis larvae inside fixed in the soil were used to evaluate the parasitism and the number of insects emerged. The dispersion indexes used were: variance/mean ratio (I), Morisita’s index (Iδ), Green’s coefficient (Cx) and k exponent of negative binomial distribution. The negative binomial distribution was more representative to the frequency distribution data of the parasitoid, since the variance was superior to the average. The analysis by the aggregation index showed that the most of the samplings presented aggregate distribution in the crop. The geoestatistics could be an useful tool to be applied to tests of different inundative liberations to this parasitoid.

Doctor of Philosophy / Civil Engineering / Sunanda Dissanayake / Safe and efficient flow of traffic through work zones must be established by improving work zone conditions. Therefore, identifying the factors associated with the severity and the frequency of work zone crashes is important. According to current statistics from the Federal Highway Administration, 2,372 fatalities were associated with motor vehicle traffic crashes in work zones in the United States during the four years from 2010 to 2013. From 2002 to 2014, an average of 1,612 work zone crashes occurred in Kansas each year, making it a serious concern in Kansas. Objectives of this study were to analyze work zone crash characteristics, identify the factors associated with crash severity and frequency, and to identify recommendations to improve work zone safety. Work zone crashes in Kansas from 2010 to 2013 were used to develop crash severity models. Ordered probit regression was used to model the crash severities for daytime, nighttime, multi-vehicle and single-vehicle work zone crashes and for work zones crashes in general. Based on severity models, drivers from 26 to 65 years of age were associated with high crash severities during daytime work zone crashes and driver age was not found significant in nighttime work zone crashes. Use of safety equipment was related to reduced crash severities regardless of the time of the crash. Negative binomial regression was used to model the work zone crash frequency using work zones functioned in Kansas in 2013 and 2014. According to results, increased average daily traffic (AADT) was related to higher number of work zone crashes and work zones in operation at nighttime were related to reduced number of work zone crashes. Findings of this study were used to provide general countermeasure ideas for improving safety of work zones.

Submitted by ARLINDO LEAL BOIÇA NETO null (arlindoboica@gmail.com) on 2016-11-10T18:24:40Z No. of bitstreams: 1 Dissertacao_final (CORRIGIDA) com certificado de aprovação.pdf: 2125977 bytes, checksum: 3df4ff312236d23618c3631b2161a7d3 (MD5) / Approved for entry into archive by LUIZA DE MENEZES ROMANETTO null (luizaromanetto@hotmail.com) on 2016-11-16T15:54:24Z (GMT) No. of bitstreams: 1 boica neto_al_dr_jabo.pdf: 2125977 bytes, checksum: 3df4ff312236d23618c3631b2161a7d3 (MD5) / Made available in DSpace on 2016-11-16T15:54:24Z (GMT). No. of bitstreams: 1 boica neto_al_dr_jabo.pdf: 2125977 bytes, checksum: 3df4ff312236d23618c3631b2161a7d3 (MD5) Previous issue date: 2016-10-21 / O amendoim é cultivado em vários estados no Brasil sendo São Paulo o maior produtor, seguido da Bahia e Mato Grosso. Semeadas em épocas diferentes conforme a região do cultivo, a área cultivada do amendoim na safra de 2014/15 no Brasil abrangeu uma área de 107,4 mil hectares, com uma produção média de 3140 kg ha⁻¹. Duas pragas destacam-se pela importância nessa cultura, sendo a lagarta-do-pescoço-vermelho, Stegasta bosquella (Chambers, 1875) (Lepidoptera: Gelechiidae) e o tripes-do-prateamento, Enneothrips flavens Moulton, 1941 (Thysanoptera: Thripidae) por causarem elevados prejuízos econômicos ao agricultor. Na literatura, poucas informações são relatadas de amostragens de pragas no amendoinzeiro. Assim, associando-se esse fato a importância das duas pragas na cultura do amendoim, se fez necessário um estudo por meio de modelos probabilísticos para avaliar as suas distribuições espaciais e amostragens sequenciais, gerando assim futuras informações aos agricultores para o manejo integrado de pragas nessa cultura. Os experimentos foram conduzidos nos anos de 2013/2014 e 2014/2015, em Jaboticabal – SP, utilizando uma área de 1,08 ha, subdividida em 100 parcelas iguais de 108 m² (10,0 x 10,8 m). Em cada parcela foram avaliadas cinco plantas ao acaso, considerando a presença ou não de insetos de S. bosquella e E. flavens. Pelos dados, observaram-se uma distribuição agregada ou moderadamente agregada de E. flavens e uma distribuição aleatória de S. bosquella; o modelo de distribuição que melhor se ajustou para E. flavens foi a binomial negativa e para lagartas de S. bosquella o modelo de distribuição de Poisson. Estes resultados permitiram a elaboração de planos de amostragem sequencial, na qual, tripes e lagartas apresentam duas retas: uma superior (S1 = 6,3072 + 1,0680 N), (S1 = 3,2134 + 0,3274 N), a partir da qual recomenda-se o controle; e outra inferior (S0 = -6,3072 + 1,0680 N), (S0 = -3,2134 + 0,3274 N), na qual, controle não é recomendado, respectivamente. Pelos resultados analisados, é possível verificar que a amostragem sequencial é eficiente na indicação ou não do controle de E. flavens e S. bosquella na cultura do amendoim. / The Peanuts are grown in several states in Brazil and São Paulo is the largest producer, followed by Bahia and Mato Grosso. Sown at different times as the growing region, the cultivated peanut area in 2014/15 crop in Brazil covered an area of 107,400 hectares, with an average production of 3140 kg ha⁻¹. Two pests stand out the importance that culture, and the red-necked peanut worm, Stegasta bosquella (Chambers, 1875) (Lepidoptera: Gelechiidae) and silvering thrips, Enneothrips flavens Moulton, 1941 (Thysanoptera: Thripidae) to cause high economic losses to the farmer. In the literature, little information is reported samplings pest in groundnut. Thus, associating this fact the importance of the two pests in peanut crop, a study using probabilistic models to assess their spatial and sequential sampling distributions made necessary, thus generating further information to farmers for the integrated pest management that culture. The experiments were conducted in the years 2013/2014 and 2014/2015, in Jaboticabal - SP, using an area of 1,08 ha, divided into 100 equal installments of 108 m² (10,0 x 10,8 m). In each plot were evaluated 5 randomly plants considering the presence or absence of E. flavens insects and S. bosquella. From the data, they observed an aggregate or aggregate distribution moderately E. flavens and a random distribution S. bosquella; the distribution model best fit for E. flavens was the negative binomial and larvae of S. bosquella the Poisson distribution model. These results allowed the development of sequential sampling plans in which, thrips and caterpillars have two lines: an upper (S1 = 6.3072 + 1.0680 N), (S1 = 3.2134 + 0.3274 N), the from which it is recommended to control; and bottom (S0 = -6.3072 + 1.0680 N) (S0 = -3.2134 + 0.3274 N), in which control is not recommended, respectively. The results analyzed, you can see that the sequential sampling is efficient in indicating whether or not the control E. flavens and S. bosquella the peanut crop.

Resumo: distribuição espacial do parasitismo, número de machos, fêmeas e total de adultos emergidos da geração F2 do parasitóide larval de Diatraea saccharalis (Fabricius), Cotesia flavipes (Cameron), foi estudada em um talhão comercial de 100x105 m de cana-de-açúcar da variedade CTC 3, com 7 meses, dividido em 100 parcelas de 105 m2, usando a metodologia de liberação de 4 pontos por hectare, com 1500 parasitóides espaçados 50 m entre eles. Em cada parcela foram colocados 10 colmos de cana com uma larva de D. saccharalis em seu interior fixados no solo para avaliação do parasitismo e número de insetos emergidos. Os índices de dispersão utilizados foram: razão variância/média (I), índice de Morisita (Iδ), coeficiente de Green (Cx) e expoente k da distribuição binomial negativa. A distribuição binomial negativa foi o modelo mais adequado para representar a distribuição de freqüência do parasitóide, já que a variância foi superior à média para todas as variáveis avaliadas. A análise dos índices de agregação mostrou que esse inseto se distribui de maneira agregada no campo. O uso da Geoestatística permitiu quantificar e mapear a distribuição de C. flavipes, mostrando ser uma ferramenta útil para teste de metodologias de liberação desse parasitóide. / Abstract: The spatial distribution of the parasitism, number of males, females and total of adults emerged of the F2 generation of the Diatraea saccharalis (Fabricius), larval parasitoid of Cotesia flavipes (Cameron), was studied in a commercial stand of extension of 100x105 m of sugarcane variety CTC 3, with 7 months old, divided into 100 plots with 105 square meters using the liberation methodology of 4 points per hectare, with 1,500 parasitoids spaced 50 m between them. The plot contained 10 stems with one D. saccharalis larvae inside fixed in the soil were used to evaluate the parasitism and the number of insects emerged. The dispersion indexes used were: variance/mean ratio (I), Morisita's index (Iδ), Green's coefficient (Cx) and k exponent of negative binomial distribution. The negative binomial distribution was more representative to the frequency distribution data of the parasitoid, since the variance was superior to the average. The analysis by the aggregation index showed that the most of the samplings presented aggregate distribution in the crop. The geoestatistics could be an useful tool to be applied to tests of different inundative liberations to this parasitoid. / Orientador: José Carlos Barbosa / Coorientador: Sergio Antonio de Bortoli / Banca: Nelson Wanderley Perioto / Banca: Wilson Itamar Maruyama / Mestre

Submitted by (ana.araujo@ufrpe.br) on 2016-05-25T16:16:39Z No. of bitstreams: 1 Cicero Carlos Felix de Oliveira.pdf: 934310 bytes, checksum: 4f4332b0b319f6bf33cdc1d615c36324 (MD5) / Made available in DSpace on 2016-05-25T16:16:39Z (GMT). No. of bitstreams: 1 Cicero Carlos Felix de Oliveira.pdf: 934310 bytes, checksum: 4f4332b0b319f6bf33cdc1d615c36324 (MD5) Previous issue date: 2011-07-08 / This dissertation is being dealt with a discrete distribution based on Bernoulli trials, which is the Negative Binomial distribution. The main objective is to propose a new non-informative prior distribution for the Negative Binomial model, which is being termed as a possible prior distribution Beta(0; 0), which is an improper distribution. This distribution is also known for the Binomial model as Haldane prior, but for the Negative Binomial model there are no studies to date. The study of the behavior of this prior was based on Bayesian and classical contexts. The idea of using a non-informative prior is the desire to make statistical inference based on the minimum of information prior subjective as possible. Well, makes it possible to compare the results of classical inference that uses only sample information, for example, the maximum likelihood estimator. When is compared the Beta(0; 0) distribution with the Bayes-Laplace prior and Jeffreys prior, based on the Bayesian estimators (posterior mean and posterior mode) and the maximum likelihood estimator, note that the possible Beta(0; 0) prior is less informative than the others prior. It is also verified that is prior possible is a limited distribution in parameter space, thus, an important feature for non-informative prior. The main argument shows that the possible Beta(0; 0) prior is adequate, when it is applied in a predictive posterior distribution for Negative Binomial model, leading the a Beta-Negative Binomial distribution (which corresponds the a hypergeometric multiplied by a probability). All observations citas are strengthened by several studies, such as: basic concepts related to Bayesian Inference and concepts of the negative binomial distribution and Beta-Negative Binomial (a mixture of Beta with the negative binomial) distribution. / Nesta dissertação está sendo abordado uma distribuição discreta baseada em ensaios de Bernoulli, que é a distribuição Binomial Negativa. O objetivo principal é prôpor uma nova distribuição a priori não informativa para o modelo Binomial Negativa, que está sendo denominado como uma possível distribuição a priori Beta(0; 0), que é uma distribuição imprópria. Essa distribuição também é conhecida para o modelo Binomial como a priori de Haldane, mas para o modelo Binomial Negativa não há nenhum estudo até o momento. O estudo do comportamento desta a priori foi baseada nos contextos bayesiano e clássico. A ideia da utilização de uma a priori não informativa é o desejo de fazer inferência estatística baseada no mínimo de informação subjetiva a priori quanto seja possível. Assim, torna possível a comparação com os resultados da inferência clássica que só usa informação amostral, como por exemplo, o estimador de máxima verossimilhança. Quando é comparado a distribuição Beta(0; 0) com a priori de Bayes - Laplace e a priori de Jeffreys, baseado-se nos estimadores bayesiano (média a posteriori e moda a posteriori) e no estimador de máxima verossimilhança, nota-se que a possível a priori Beta(0; 0) é menos informativa do que as outras a priori. É verificado também, que esta possível a priori é uma distribuição limitada no espaço paramétrico, sendo assim, uma característica importante para a priori não informativa. O principal argumento mostra que a possível a priori Beta(0; 0) é adequada, quando ela é aplicada numa distribuição a posteriori preditiva para modelo Binomial Negativa, levando a uma distribuição Beta Binomial Negativa (que corresponde a uma hipergeométrica multiplicada por uma probabilidade). Todas as observações citadas são fortalecidas por alguns estudos feitos, tais como: conceitos básicos associados à Inferência Bayesiana e conceitos das distribuições Binomial Negativa e Beta Binomial Negativa (que uma mistura da Beta com a Binomial Negativa).