Abstract: New generalized distributions namely Topp-Leone-G Power Series class of distributions, Marshall-Olkin-Exponentiated Odd Exponential Half Logistic-G family of distributions, Exponentiated Odd Exponential Half Logistic-G Power Series class of distributions and Marshall-Olkin-Type II-Topp-Leone-G family of distributions are presented. Properties of these generalized distributions including series expansion of density functions, hazard functions, quantile functions, moments, conditiona...
Abstract: Mixture models have gained popularity in statistical analyses because of their flexibility in cap turing local variations in heterogeneous populations. Model based approaches to classification use mixture models to fit data via maximum likelihood based approaches and provide labels to unlabelled observations. Over the years model based approaches have grown into an important sub-field of classification because they provide the uncertainty of classifying the unlabelled observations ...
Abstract: New distributions namely, Lindley-Weibull Power Series (LWPS) class of distributions and the special case called Lindley-Weibull logarithmic (LWL) distribution, a new gamma generalized Lindley log-logistic (GELLLoG) distribution, Marshall-Olkin Lindley log-logistic (MOLLLoG) distribution and half logistic log-logistic Weibull (HLLLoGW) distribution and their sub-models are presented. Structural properties including hazard and reverse hazard functions, quantile function, moments, co...
Abstract: Nowadays, when collecting data, it has become almost unavoidable to end up with missing data due to various reasons. Very often, these reasons are out of the control of the investigator. For regression settings, data can be missing in the response space, covariate space, or in both the response and covariate spaces. Such missingness can be related to different missing data mechanisms. The most commonly encountered missingness mechanisms in the literature include missing completely ...
Abstract: We introduce the exponentiated odd Nadarajah-Haghighi-G (EO-NH-G) family of distributions and the exponentiated odd exponential Topp-Leone-G (EOE-TL-G) family of distributions as well as the exponentiated odd exponential Topp-Leone-G power series class of distributions. We obtain the series expansions of the probability density functions, hazard rate functions, quantile functions, moments, conditional moments, Bonferroni and Lorenz curves, Renyi entropy and distribution of order st...
Abstract: In this project we study the exponential convergence of Markov processes to quasi-stationary distributions (QSDs) with applications. Quasi-stationary distributions are useful when it comes to understanding the behavior of stochastic processes which appear to be persistent over a long time period before reaching extinction. A review of the concept of stationarity and ergodicity is given. Next quasi-stationarity is defined. A simple example that illustrates quasi-stationarity is cons...
Abstract: In this thesis, new generalized families of distributions namely, Weibull Odd Burr III-G (WOBIII-G), Ristic-Balakhrishnan Odd Burr III-G (RBOBIII-G), Risti ´ c-´ Balakhrishnan Marshall-Olkin-G (RBMO-G), Exponentiated Half-Logistc Odd Burr III-G (EHL-OBIII-G) and Half-Logistic Odd Power Generalized Weibull-G (HLOPGW G) families of distributions are developed and studied in detail. Furthermore, the mathematical and statistical properties of these new families of distributions such ...
Abstract: Statistical distributions are important in modeling the real life of an item and therefore proper distributions that provide useful information for sound conclusions and decisions are needed. For that reason, the demand for developing new generalized distributions have become appropriate for data that have both monotonic and non-monotonic hazard rate functions. In this paper, we develop a new distribution called the Type IITopp-Leone-G Power Series (TIITLGPS) distribution by compou...
Abstract: A new generalized class of distributions called the Burr-Weibull Power Series (BWPS) class of distributions is developed and explored. This class of distributions generalizes the Burr power series and Weibull power series classes of distributions, respectively. A special model of the BWPS class of distributions, the new Burr-Weibull Poisson (BWP) distribution is considered and some of its mathematical properties are obtained. The BWP distribution contains several new and well known...
Abstract: We present a new class of distributions called the Topp-Leone-G Power Series (TL-GPS) class of distributions. This model is obtained by compounding the Topp-Leone-G distribution with the power series distribution. Statistical prop erties of the TL-GPS class of distributions are obtained. Maximum likelihood estimates for the proposed model were obtained. A simulation study is carried out for the special case of Topp-Leone Log-Logistic Poisson distribution to assess the performance o...
Contents Executive Summary Full Report Initial Data Analysis Research Question 1: How has female participation in the Olympics evolved since the 1890s? Research Question 2: Which country has produced the highest number of medal winning female Olympians? References
Abstract: The import for oil in the whole world and particularly in Tanzania is heavily increasing due to the increasing number of cars, motorcycles, industries, and other machines for their operations. However, the imported oil has been going along with the imported inflation in the country. It is well known that a strong and stable inflation influences the economic growth of a country since it inspires investments, and enhances the consumers to afford purchasing of goods and service a...
This paper considers the estimation of stress–strength reliability when two independent exponential inverse Rayleigh distributions with different shape parameters and common scale parameter. The maximum likelihood estimator (MLE) of the reliability, its asymptotic distribution and asymptotic confidence intervals are constructed. Comparisons of the performance of the estimators are carried out using Monte Carlo simulations, the mean squared error (MSE), bias, average length and coverage prob...
ABSTRACT The study attempts to determine whether the mood of teachers have any direct bearing on the academic performance of students in class. The study area was Morso D/A J.H.S. A sample size of forty students from form two was used for the study. The affect theory by Tomkins and the behavioral theory by Bandura was adopted as framework for this study. The random sampling technique was employed to select the samples into two groups of students each comprising of twenty, the groups were tau...
ABSTRACT The study focused on the assessment of stakeholders participation as a determinant for effective land use plans implementation in the Tamale Metropolis of Northern Region of Ghana. Primary data was then collected from households and institutions and analyzed. The study revealed that those factors such as leadership qualities, transparency, resources availability and centralization of decisions affect successful stakeholders’ participation in implementation of land use plans. The ...