American Journal of Theoretical and Applied Statistics

Volume 5, Issue 4, July 2016

  • Determinants of Environmental Health Related Diseases in Kenya with Generalized Linear Mixed Models: Analysis of Kenya Integrated Household Budget Survey

    Jemimah Wangui Muraya, Beatrice Karanja Kimani, John Mwangi Ndiritu

    Issue: Volume 5, Issue 4, July 2016
    Pages: 162-172
    Received: 29 February 2016
    Accepted: 11 March 2016
    Published: 4 June 2016
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    Abstract: Generalized linear models (GLMs) form a class of fixed effects regression models for several types of dependent variable, whether continuous, dichotomous or counts. Common GLMs include linear regression, Logistic regression and Poison regression. These models have typically been used a lot in modeling of data arising from a heterogeneous population... Show More
  • Evaluation of Error Rate Estimators in Discriminant Analysis with Multivariate Binary Variables

    Egbo Ikechukwu

    Issue: Volume 5, Issue 4, July 2016
    Pages: 173-179
    Received: 1 April 2016
    Accepted: 19 April 2016
    Published: 4 June 2016
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    Abstract: Classification problems often suffers from small samples in conjunction with large number of features, which makes error estimation problematic. When a sample is small, there is insufficient data to split the sample and the same data are used for both classifier design and error estimation. Error estimation can suffer from high variance, bias or bo... Show More
  • Feed Forward Neural Network Versus Kernel Regression a Case of Body Mass Index and Body Dimensions

    Nzinga Christine Mutono, Gichuhi Anthony Waititu, Wanjoya Anthony Kiberia

    Issue: Volume 5, Issue 4, July 2016
    Pages: 180-185
    Received: 5 May 2016
    Accepted: 18 May 2016
    Published: 7 June 2016
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    Abstract: Body mass index is a measure of body fitness and is considered very important in screening body categories that may lead to health problems. Understanding risk factors of obesity provide more insight and nature of policies that can be put up to fight obesity. However, uncertainty regarding most appropriate means by which to define excess body weigh... Show More
  • Cluster Analysis, K-Nearest Neighbour and Artificial Neural Network Applied to Credit Data to Classify Credit Applicants

    Mutua Jennifer Ndanu, Gichuhi Anthony Waititu, Wanjoya Anthony Kiberia, Muia Patricia Nthoki

    Issue: Volume 5, Issue 4, July 2016
    Pages: 186-191
    Received: 5 May 2016
    Accepted: 18 May 2016
    Published: 7 June 2016
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    Abstract: Potential risk on credit applicants is the probability of default on repayment of a credit facility rendered by a commercial bank. To improve efficiency in decision making on credit risk, therefore credit scoring models are developed. The objectives of this research areto classify credit applicants cluster analysis, Artificial Neural Network and K-... Show More
  • Bayesian Prediction Based on Type-I Hybrid Censored Data from a General Class of Distributions

    Amr Sadek

    Issue: Volume 5, Issue 4, July 2016
    Pages: 192-201
    Received: 4 May 2016
    Accepted: 12 May 2016
    Published: 14 June 2016
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    Abstract: One and two-sample Bayesian prediction intervals based on Type-I hybrid censored for a general class of distribution 1-F(x)=[ah (x)+b]c are obtained. For the illustration of the developed results, the inverse Weibull distribution with two unknown parameters and the inverted exponential distribution are used as examples. Using the importance samplin... Show More
  • Minimax Estimation of the Parameter of Maxwell Distribution Under Different Loss Functions

    Lanping Li

    Issue: Volume 5, Issue 4, July 2016
    Pages: 202-207
    Received: 21 May 2016
    Accepted: 6 June 2016
    Published: 23 June 2016
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    Abstract: The aim of this article is to study the Bayes estimation and minimax estimation of the parameter of Maxwell distribution. Bayes estimators are obtained with non-informative quasi-prior distribution under different loss functions, namely, weighted squared error loss, squared log error loss and entropy loss functions. Then the minimax estimators of t... Show More
  • Food Production Modelling Using Fixed Effect Panel Data for Nigeria and Other 14 West African Countries (1990-2013)

    Olatunji Taofik Arowolo, Matthew Iwada Ekum

    Issue: Volume 5, Issue 4, July 2016
    Pages: 208-218
    Received: 22 May 2016
    Accepted: 31 May 2016
    Published: 8 July 2016
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    Abstract: In this research, the fixed effect panel data predictive model was employed to formulate panel regression models of food production of 15 selected Economic Community of West African States (ECOWAS) using four (4) World Development Indicators (WDI) as explanatory variables. Data were collected from 1990 to 2013. The four WDI are Food imports (% of m... Show More
  • Estimation of Change Point in Poisson Random Variables Using the Maximum Likelihood Method

    Shalyne Nyambura, Simon Mundia, Anthony Waititu

    Issue: Volume 5, Issue 4, July 2016
    Pages: 219-224
    Received: 27 May 2016
    Accepted: 18 June 2016
    Published: 11 July 2016
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    Abstract: The point at which a process undergoes a significant shift from its usual course is known as change point. Change point analysis entails testing for the presence of change in a given process, and the location of a single or multiple change points. This study presents a maximum likelihood estimate of a single change point in a sequence of independen... Show More
  • Modeling Multivariate Correlated Binary Data

    Ahmed Mohamed Mohamed El-Sayed

    Issue: Volume 5, Issue 4, July 2016
    Pages: 225-233
    Received: 13 June 2016
    Accepted: 22 June 2016
    Published: 13 July 2016
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    Abstract: This paper provides the model, estimation and test procedures for the measures of association in the correlated binary data associated with covariates in multivariate case. The generalized linear model (GLM) which satisfies the Markov properties for serial dependence, and the alternative quadratic exponential form (AQEF) are employed for multivaria... Show More
  • Extreme Values Modelling of Nairobi Securities Exchange Index

    Kelvin Ambrose Kiragu, Joseph Kyalo Mung’atu

    Issue: Volume 5, Issue 4, July 2016
    Pages: 234-241
    Received: 21 June 2016
    Accepted: 28 June 2016
    Published: 13 July 2016
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    Abstract: Extreme events and the clustering of extreme values provide fundamental information which can be used for risk assessment in finance. When applying extreme value analysis to financial time series we handle two major issues, bias and serial dependence. The main objective of the study will be to model the extreme values of the NSE all share index usi... Show More
  • Multinomial Logistic Regression for Modeling Contraceptive Use Among Women of Reproductive Age in Kenya

    Anthony Makau, Anthony G. Waititu, Joseph K. Mung’atu

    Issue: Volume 5, Issue 4, July 2016
    Pages: 242-251
    Received: 14 June 2016
    Accepted: 24 June 2016
    Published: 23 July 2016
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    Abstract: Contraceptive use is viewed as a safe and affordable way to halt rapid population growth and reduce maternal and infant mortality. Its use in Kenya remains a challenge despite the existence of family planning programmes initiated by the government and other stakeholders aimed at reducing fertility rate and increasing contraceptive use. This study a... Show More