This thesis considers statistical issues in the analysis of data in the studies of chronic diseases which involve modeling dependencies between life history processes using copula functions. Many disease processes feature recurrent events which represent events arising from an underlying chronic condition; these are often modeled as point processes. In addition, however, there often exists a random variable which is realized upon the occurrence of each event, which is called a mark of the point process. When considered together, such processes are called marked point processes. A novel copula model for the marked point process is described here which uses copula functions to govern the association between marks and event times. Specifically, a copula function is used to link each mark with the next event time following the realization of that mark to reflect the pattern in the data wherein larger marks are often followed by longer time to the next event. The extent of organ damage in an individual can often be characterized by ordered states, and interest frequently lies in modeling the rates at which individuals progress through these states. Risk factors can be studied and the effect of therapeutic interventions can be assessed based on relevant multistate models. When chronic diseases affect multiple organ systems, joint modeling of progression in several organ systems is also important. In contrast to common intensity-based or frailty-based approaches to modelling, this thesis considers a copula-based framework for modeling and analysis. Through decomposition of the density and by use of conditional independence assumptions, an appealing joint model is obtained by assuming that the joint survival function of absorption transition times is governed by a multivariate copula function. Different approaches to estimation and inference are discussed and compared including composite likelihood and two-stage estimation methods. Special attention is paid to the case of interval-censored data arising from intermittent assessment. Attention is also directed to use of copula models for more general scenarios with a focus on semiparametric two-stage estimation procedures. In this approach nonparametric or semiparametric estimates of the marginal survivor functions are obtained in the first stage and estimates of the association parameters are obtained in the second stage. Bivariate failure time models are considered for data under right-censoring and current status observation schemes, and right-censored multistate models. A new expression for the asymptotic variance of the second-stage estimator for the association parameter along with a way of estimating this for finite samples are presented under these models and observation schemes.

Fluorescent nano-diamond(FND) is an unique fluorescence bio-labeling materials, which exhibit good fluorescence yield, excellent photostability, and non-toxicity. The emission color of FND is determined by the defect centers in the diamond crystal. When the defect center composed of one vacancy and two nearest-neighborhood nitrogen substitutes, it forms a H3 center. H3 center has a zero-phonon line at 496nm , and a broadband green emission around 530 nm,. When the FND contains lots of H3 centers, the emission color is green, hence it¡¦s called green FND(gFND). Since H3 centers composed of two nitrogen substitutes, it is naturally to fabricate the gFNDs by diamonds with high nitrogen substitutes. However, H3 center is not the only products when the diamond contains many nitrogen substitutes, and high density of vacancies. Other type of defect centers (NV-, NV0, ¡K) exhibit lower energy gap, and quench the emission of H3 centers. In this thesis, it aims to study the spectroscopic homogeneity of the gFNDs. Comparing the intensity of the scattering images and the corresponding fluorescence images, it provides the information of the relation between particle size and the density of color centers. Furthermore, images with different color filters are compared to provide the information of the composition of defect structures. Fluorescence lifetime image is performed for the emission dynamics of the nano-particle. The results indicate that the decay lifetime has an relation to the emission intensity. When the nano-particle contains more color centers, it quenches the emission from H3 centers more.

In this thesis, we consider cognitive radio networks (CRN) combined with cooperative transmission, and investigate relay selection and power allocation strategies to maximize network lifetime (NLT). Cognitive radio network enhances spectrum efficiency resource by exploiting capabilities of cognition, learning and coordination against insufficient spectrum resource. In underlay cognitive radio network, however, transmitted energy of secondary user is constrained by interference level observed at primary user (PU). Though cooperation among secondary users (SU), multiple relays from virtual antenna array to improve transmission rate and reliability by exploiting spatial diversity. Most existing works assume that cooperative secondary users are plugged and with infinite energy device. In this thesis, we consider secondary cooperative systems where relays are battery-powered and with finite energy. We will investigate relay-selection schemes to reduce energy consumption of secondary relays and prolong network lifetime under the premises that secondary user¡¦s transmission rate is guaranteed and interference constraint of primary user is met. Our major difference between this work and previous works is the definition of network lifetime, which is defined by the maximum duration that the probability of secondary user¡¦s achievable rate below the guaranteed value, i.e. outage probability, is lower than a predetermined threshold. We proposed four relay-selection methods which take channel state information (CSI) and residual energy information (REI) into considerations to prolong network lifetime. Since the selection metrics of the proposed strategies requires CSI and REI of each individual relay, so the relay-selection can be accomplished in distributed manner through opportunistic sensing. No additional overhead is demanded for information exchange.

A tunable erbium-doped fiber ring laser using an intra-cavity Fabry-Perot filter as the tuning element is investigated. Tuning is achieved by varying the applied voltage which controls the FP cavity length. The laser's wavelength is monitored using an optical spectrum analyzer to determine the laser's spectral characteristics under static conditions at different wavelengths over its tuning range of approximately 50nm. When the laser is tuned rapidly, the frequency versus time characteristic is determined using a fiber Fabry-Perot interferometer with a photodetector to convert the optical signal to an electrical signal. The core of the research is to determine the degree of spectral broadening of the laser as a function of the spectral tuning rate. The fringe contrast of fiber Fabry-Perot interferometer transmittance curves decreases with increase in the tuning frequency. The gain at a certain wavelength becomes a function of time putting an upper limit on the tuning frequency of the system. The carrier lifetime of erbium ions dictates the maximum achievable tuning speed.

Customer is one of the most important profit resources for a firm. It is increasingly apparent that management will make a decision by customer value. This research focuses on the most critical aspect of a firm: customer lifetime value. It is used to valuing customer lifetime value by discount cash flow approach. This research uses the real option approach (ROA) and connects the concept of customer lifetime value in marketing to build a new valuation model. Real option approach is a new method for estimating the value. It resolves some disadvantage which traditional financial models such as discount cash flow approach can not value the managerial flexibility. In practice, management has many options. These options provide flexibility that adds to the value of customers. The customer investment (e.g., service and advertising) can be deferred at the design phase and under uncertainty, it can be expanded or extended if it does better than expected, or abandoned if it gets worse. There are various types of options that are related to valuing customers, such as deferral, abandonment, expansion, and contraction of investment. This research provides good solution to value customer lifetime value by using real option approach and uses bank wealth management programs as practice evidence. This research builds a fitness model to value managerial flexibility. This research finds out that the domestic banks original set up the VIP migration boundary according to American experience are unreasonable and should be adjusted. Besides, when domestic banks set up the VIP migration boundary, the most important factor they should consider is deposit growth rate instead American experience. Finally, the practice evidence of the influence the expected factors on VIP migration boundary confirms with this research¡¦s expectation.

In this dissertation, we construct a temperature controlled sample stage that is compatible with high numerical aperture objective optical microscope, and perform single molecule experiments under the system. Mixing dilute fluorophore (CdSe/ZnS quantum dot, DiI, Rhodamine B) into the liquid crystal matrix (5CB), we monitor the fluorescence dynamics of the individual fluorophore at various temperature. Different from the thermodynamic states of conventional materials, those specific class of materials which we called ¡§liquid crystals¡¨ are attracted for their existence of unique liquid crystal phase, which exhibits a solid-state like higher orientation ordering, and a liquid-state like liquidity. Probe individual fluorophore allows us to monitor the nanometer length scale local structural and dynamic heterogeneity in the solid, liquid crystal and liquid phases. The operating temperature of the platform covers more than 20 oC to 40 oC range with stability much better than 0.1 oC. Quantum dot in PMMA exhibits a clear on-off blinking behavior, and the single exponential fluorescence lifetime relaxation. While in the solid phase of the liquid crystal matrix, quantum dot exhibits similar behavior, which indicates the quantum dot is confined in the matrix. However, there exists slightly difference in decay lifetime. On the contrary, in the liquid crystalline phase as well as the liquid phase, quantum dot exhibits bi-exponential relaxation behavior. Besides a similar time scale relaxation dynamics, there exists additional fast decay behavior, which is from the feasible rotational rotation in the non-rigid matrix. In particular, the anisotropic decay dynamics in the liquid crystalline phase indicates the orientation preference of the liquid crystal molecules. Fluorescence Correlation Spectroscopy (FCS) provides the information of local dynamics of various time scales. FCS results exhibit an unclear transition that crossovers several decades in time scale, which indicates the highly heterogeneity of the liquid crystal. The results of DiI exhibits different rising time in the fluorescence lifetime measurement, which implies the forming of aggregation due to the limited solubility of the DiI molecules in the liquid crystal matrix. Results of Rhodamine B exhibit a clear rotational diffusion dynamics at ~ microsecond scale and the corresponding translational diffusion dynamics at ~ mini-second scale. Moreover, the transition time scale of translational diffusion exhibits a temperature dependence. At higher temperature, it shifts to a shorter time scale.

We have constructed a single molecule detection system with the capability to simultaneously measure many parameters, including transient fluorescence intensity, fluorescence lifetime, and photon anti-bunching behavior via the Hanbury Brown-Twiss photon-correlation technique. In addition, we apply the system to study the single DiI (1, 1 '- dioctadecyl- 3, 3 , 3 ', 3 ' - tetramethylindocarbocyanine perchlorate) molecule, to characterize the photo-physical behaviors. Cyanine dyes are the molecules that constitute of two nitrogen centers, one of which is positive charged, and is linked by a conjugated chain with odd number of carbon atoms to the other nitrogen center. Cyanine dyes are interested in the photo sensitization, optical recording media, nonlinear optics, laser dyes, and many interesting photophysical and photochemical behaviors. Among them, DiI plays an important role in single molecule fluorescence investigations. The high photo-stability, good QE, and low inter-system crossing rates, make it a pioneer for the widely investigations in single molecule studies. Our experimental goal is to understand the characteristic of the monitored single molecule by the measuring photo-physical parameters. Our results include the typical behaviors in DiI molecules: clear on-off blinking, fluorescence anti-bunching, one-step photo-bleaching, and consistent fluorescence polarization orientation. In addition, we also observed some change during measurement, which indicates the corresponding change of structure. Few molecules also exhibit non-zero probability around the zero delay time, which indicates the simultaneous existence of more than one quantum emitters in the detected region. These results demonstrate that the parameters are essential for understanding and characterizing the observed molecules in single molecule level.

Hundred and thousands of wireless sensor node comprise wireless sensor network (WSN), WSN can be applied in many situations, because a wireless sensor node have small size and wireless transmission advantages, the battery provide sensor node power, but the battery¡¦s power is limit, therefore, energy efficiency is a critical issue, routing protocol can make better energy consumption and loading balance, Clustering is useful routing protocol in WSN and provides the direction of energy efficiency. The ARC (Adaptive Re-Clustering) is based on clustering; ARC can reduce the whole WSN power consumption and protect less residue power cluster-head. The experiments prove that ARC can improve network reliability and extend network lifetime.

In this thesis, the a-PMT (amorphous lead magnesium titanate) membranes have been prepared by sol-gel technique as H+ ion sensitive layers. The C-V measurements of the a-PMT/SiO2/Si EIS structures prepared by spin-on coating are used for examining the fabrication parameters and sensing properties. There exhibits the quasi-Nerstain response of 55¡V59 mV/pH in the range of pH 2¡V12, fabricated with the Mg-modified content of 4 mole%, the firing temperature of about 400 ¢J and the thickness of about 0.5

Wireless Sensor Network (WSN) is composed of micro sensor nodes and it represents that they are small in size and cheap in cost but own limited capacity of computation and operation time. WSN is used to detect and sense events like temperature, earthquake, creature activities, atmospheric pressure and so on. By the property of wireless data transmission, WSN can be rapidly deployed and easily built up. In other hand, lifetime of WSN has been constrained by the batteries built in each sensor node. To transmit sensed data back to the base station spends the most energy for the WSN, and thus how to operate efficiently will be the key to extend the operating time of the WSN. There are a lot of related researches that proposed many routing protocols to maximize WSN lifetime and clustering is a proven routing protocol for WSN energy efficiency. The clustering method group nearby nodes together and choose one of them as a cluster-head that will transmit data back. The most important issue of clustering method is to choose which as a cluster-head. Usually, cluster-head will be chosen by probability and normal nodes will choose their own cluster-head by distance. Global-fit and Energy-Efficient (GFEE) algorithm, which is based on global-fit concept, is proposed to enhance lifetime of WSN. GFEE not only chooses cluster-head by probability and taking turns, but also bases on residual energy. All other nodes choose their cluster-head by distance and total energy consumption. Nodes with low power should be protected by some mechanisms. Experiments approved GFEE, especially in the situations of nodes widely spread or long distance transmission.