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...
Abstract: One of the greatest challenges facing the people of sub-Saharan Africa is the production of sufficient food to feed a rapidly increasing population in the face of dwindling finances. As the population grows at 3% and food production at 2% per annum, an annual shortage of 250 million tons of food is expected by year 2020. The greatest obstacle to increasing the production of maize and sorghum, the staple food in many African communities south of the Sahara, is damage by phytophagous...
ABSTRACT Biologically, every living thing has a general property. One of these properties is movement. As a result of this movement, some hazard can occur. One of these hazards is accident. Generally, in Nigeria, the major mode of movement is by road. Road accident has become a major threat to lives of citizens of the country especially during the festive period. The increasing magnitude of fatal road traffic accident globally has been attributed to population explosion and increased leve...
ABSTRACTAIDS is an acronym for acquired immune deficiency syndrome it cause a destruction of the immune system. It is the most advance stage of HIV viruses (Human Immune deficiency syndrome Virus). This research work is carried out to determine the relationship between male and female HIV patient using data collected from National Tuberclosis and Leprosy training centre Says Zaria. The model arrived in this research. It shows a linear trend model for the male patients Yt=2038 -55.4,364*t show...
ABSTRACT The main objective of this study was to examine factors associated with childhood mortality and morbidity in South Sudan. The specific objectives were to establish childhood mortality, examine the effect of childhood factors on morbidity as well as examining the contribution of mother factors on childhood mortality and morbidity. The study used both descriptive and inferential analysis using secondary data from Second South Sudan household health survey (SSHHS2). Using univariate, ...
ABSTRACT The main objective of this study was to examine factors associated with childhood mortality and morbidity in South Sudan. The specific objectives were to establish childhood mortality, examine the effect of childhood factors on morbidity as well as examining the contribution of mother factors on childhood mortality and morbidity. The study used both descriptive and inferential analysis using secondary data from Second South Sudan household health survey (SSHHS2). Using univariate, ...