This paper deals with the joint and conditional distributions concerning the maximum of random walk paths and the number of times this maximum is achieved. This joint distribution was studied first by Dwass [1967]. Based on his result, the correlation and some conditional moments are derived. The main contributions are however asymptotic expansions concerning the conditional distribution and conditional moments. (author's abstract) / Series: Forschungsberichte / Institut für Statistik

A semiregular tree is a tree where all non-pendant vertices have the same degree. Belardo et al. (MATCH Commun. Math. Chem. 61(2), pp. 503-515, 2009) have shown that among all semiregular trees with a fixed order and degree, a graph with index is caterpillar. In this technical report we provide a different proof for this theorem. Furthermore, we give counter examples that show that this result cannot be generalized to the class of trees with a given (non-constant) degree sequence. / Series: Research Report Series / Department of Statistics and Mathematics

We demonstrate that for the fast numerical inversion of the (generalized) inverse Gaussian distribution two algorithms based on polynomial interpolation are well-suited. Their precision is close to machine precision and they are much faster than the bisection method recently proposed by Y. Lai. / Series: Research Report Series / Department of Statistics and Mathematics

Approximately 10 000 individuals in Sweden are diagnosed with aphasia every year, which can result in severe communication difficulties. Conversation partner training (CPT) is a treatment that aims to help the person with aphasia and their communication partner to have a functional communication. CPT has shown to be an efficient treatment and is recommended in the Swedish national stroke rehabilitation guidelines. The present study examines the inter- and intra-rater reliability of five different CPT assessment materials with intraclass correlation (ICC) for CPT in aphasia. The assessment materials evaluated and compared in this study were Measure of skill in supported conversation (MSC), Measure of participation in conversation (MPC) and the Swedish adaptations Measure of interaction in conversation (MIC/MIK), Stöd i konversation (SiK) and Deltagande i konversation (DiK). The study also examines if assessment training increases the inter-rater reliability, and also if there is any correlation between the type and severity of aphasia and inter-rater reliability. Fourteen dyads participated in the study. The analyses are based on 10 minutes long video clips where the dyads are having a conversation on an optional topic. The results indicated that the assessment materials with the highest inter-rater reliability were SiK and DiK (ICC > 0.65, p < 0,001) and the assessment material with highest intra-rater reliability was MSC for assessor number one (0.91, p < 0.001) and MIC for assessor number two (0.83, p < 0.001). The results also imply that there are no significant differences in inter-rater reliability between assessments before and after assessment training. Correlation between type of aphasia and inter-rater reliability was found in SiK (r = 0.65 p = 0.013). No correlation was found for the variable severity of aphasia and inter-rater reliability. Varje år drabbas ca 10 000 personer av afasi i Sverige, vilket kan medföra stora kommunikativa svårigheter. Kommunikationspartnerträning (KPT) är en behandling som hjälper den drabbade och dennes samtalspartner att kommunicera på ett funktionellt sätt. Studier visar att KPT är en effektiv behandlingsmetod och i Socialstyrelsens reviderade nationella strokeriktlinjer rekommenderas denna metod. Föreliggande studie undersöker inter- och intrabedömarreliabiliteten med intraclass correlation (ICC) för fem olika bedömningsmaterial för KPT vid afasi. Bedömningsmaterialen som jämförts och utvärderats är Measure of skill in supported conversation (MSC), Measure of participation in conversation (MPC), och de svenska anpassningarna Mått på interaktion i kommunikation (MiK) och Stöd i konversation (SiK) respektive Deltagande i konversation (DiK). Studien utforskar också om samstämmighetsträning förbättrar interbedömarreliabiliteten samt om det finns något samband mellan typ och grad av afasi och interbedömarreliabilitet. Fjorton dyader deltog i studien. Analysen genomfördes utifrån filmklipp på cirka 10 minuter där deltagarna samtalade om valfritt ämne. Resultaten visade att SiK och DiK hade högst interbedömarreliabilitet (ICC > 0,65, p < 0,001). Bedömningsmaterialet med högst intrabedömarreliabilitet var MSC för bedömare 1 (0,91, p < 0,001), och MIK för bedömare 2 (0,83 p < 0,001). Resultaten i föreliggande studie visade inga signifikanta skillnader i interbedömarreliabilitet mellan testning före respektive efter träning av samstämmighet. Korrelation mellan typ av afasi och interbedömarreliabilitet kunde påvisas för SiK (r = 0,65 p = 0,013). Korrelation mellan grad av afasi och interbedömarreliabilitet kunde ej påvisas.

The final thesis characterizes and analyses maritime container transport from EU to USA. Mainly analyses maritime politics of the EU and USA and their foreground fields. Characterizes port of Bremerhaven and all the activities connected before container is loaded on the vessel. Mentioned are also two biggest shipping companies - Maersk Line and MSC - which are sailing between EU - USA. The last part analyses export of the container from Germany to USA.

The acceptance-rejection algorithm is often used to sample from non-standard distributions. For this algorithm to be efficient, however, the user has to create a hat function that majorizes and closely matches the density of the distribution to be sampled from. There are many methods for automatically creating such hat functions, but these methods require that the user transforms the density so that she knows the exact location of the transformed density's inflection points. In this paper, we propose an acceptancerejection algorithm which obviates this need and can thus be used to sample from a larger class of distributions. / Series: Research Report Series / Department of Statistics and Mathematics

We characterize trees that have greatest maximum p-Laplacian eigenvalue among all trees with a given degree sequence. We show that such extremal trees can be obtained by breadth-first search where the vertex degrees are non-increasing. These trees are uniquely determined up to isomorphism. Moreover, their structure does not depend on p. / Series: Research Report Series / Department of Statistics and Mathematics

Företaget SwePart i Liatorp har tagit fram en prototyp på en planetväxel utan glapp vilken kan gynna bl.a. robotindustrin. Problematiseringen är att växeln låter illa vid rotation vilket är vad som ska studeras i detta arbete.Syftet med det här arbetet är att studera reaktionskrafter mellan kuggarna samt kuggformens inverkan på jämnheten i växelns gång. Dessa studier kan leda till kunskap om orsaken till missljud vid interaktion mellan kuggar på planetväxlar. Målet är att få en större inblick i hur kuggarna påverkar varandra vid kontakt och momentöverföring.Studierna utförs genom simuleringar med hjälp av programmet MSC Adams, där SweParts prototypväxel analyseras genom att ta fram kontaktkrafter mellan ett planethjul och ringhjulet.Simuleringarna visar på stora hopp i amplituden under simuleringens tidsintervall vilket kan vara orsaken till missljud. Detta beror bl.a. på kuggarnas form.

The diploma thesis is focused on the development of a mathematical model of the tractor-tool set in the MSC Adams program enabling analysis of the influence of the position of the upper linkage of the three-point hitch on the load of the driving wheels during the system operation. The measured force effects are analysed with focus on the adhesion load of the drive wheels and the traction properties of the tractor. Based on the calculations made, it determines the optimal setting of the upper link of the hitch for the connected tool.

This Master’s Thesis introducing active preload control of machine tool head supported by a company TOSHULIN, a.s. It presents a way of creating models from rigid body models to flexible bodies and finally to multi-body systems with control loop. The goal of this thesis is create active preload control using a piezo-stack system for simplified linear model of ma-chine tool head.