American Journal of Theoretical and Applied Statistics

Volume 5, Issue 6, November 2016

  • Modeling Extremal Events: A Case Study of the Kenyan Public Debt

    Josephat Onchangwa Motonu, Anthony Gichuhi Waititu, Joseph Kyalo Mung’atu

    Issue: Volume 5, Issue 6, November 2016
    Pages: 334-341
    Received: Sep. 14, 2016
    Accepted: Sep. 23, 2016
    Published: Oct. 14, 2016
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    Abstract: Kenya’s public debt is sharply increasing and there are fears that in the long run, the situation in the country may, perhaps, be gravitating towards the boundaries of debt distress. This has been occasioned by the ever rising fiscal deficit as a result of high expenditure appetite and poor performance of tax revenue. In addition to that is the rec... Show More
  • Empirical Bayes One-side Test for Inverse Exponential Model based on Negative Associate Samples

    Guobing Fan

    Issue: Volume 5, Issue 6, November 2016
    Pages: 342-347
    Received: Sep. 05, 2016
    Accepted: Sep. 23, 2016
    Published: Oct. 15, 2016
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    Abstract: By using the kernel-type density estimation and empirical distribution function in the case of identically distributed and negatively associated samples, the empirical Bayes one-sided test rules for the parameter of inverse exponential distribution are constructed based on negative associate sample under weighted linear loss function, and the asymp... Show More
  • Admissibility Estimation of Burr Type XI Distribution Under Entropy Loss Function Based on Record Values

    Lanping Li

    Issue: Volume 5, Issue 6, November 2016
    Pages: 348-353
    Received: Sep. 21, 2016
    Accepted: Oct. 01, 2016
    Published: Oct. 25, 2016
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    Abstract: The aim of this paper is to study the estimation of parameter of Burr Type XI distribution on the basis of lower record values. First, the minimum variance unbiased estimator and maximum likelihood estimator are obtained. Then the Bayes and empirical Bayes estimators of the unknown parameter are derived under entropy loss function. Finally, the adm... Show More
  • Multiple Local Polynomial Regression Modelling: Case of Life Insurance Uptake in Kenya, Uasin Gishu County

    Willy Thuitai, Anthony Gichuhi Waititu, Anthony Wanjoya

    Issue: Volume 5, Issue 6, November 2016
    Pages: 354-358
    Received: Sep. 26, 2016
    Accepted: Oct. 05, 2016
    Published: Oct. 27, 2016
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    Abstract: In Kenya life insurance has contributed widely and still remains a vital aspect of the social-economic development of the society. It focuses on safe- guarding the future as well as ensuring that there is some savings that can be used later in life. Despite its importance, the penetration of life insurance is currently only at one point three perce... Show More
  • Sarima Versus Time Lagged Feedforward Neural Networks in Forecasting Precipitation

    Elias Kimani Karuiru, George Otieno Orwa, John Mwaniki Kihoro

    Issue: Volume 5, Issue 6, November 2016
    Pages: 359-364
    Received: Sep. 17, 2016
    Accepted: Oct. 17, 2016
    Published: Nov. 07, 2016
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    Abstract: The precipitation estimates are considered to be very important in economic planning. Major economic sectors highly depend on the precipitation levels. These sectors include agriculture, tourism, mining and transport. In Kenya, rainfall amount fluctuates with time hence depending on empirical observations while predicting is a hard task. Various st... Show More
  • Estimating Extreme Quantiles of the Maximum Surface Air Temperatures for the Sir Seretse Khama International Airport Using the Generalized Extreme Value Distribution

    Thuto Mothupi, Wilson Moseki Thupeng, Baitshephi Mashabe, Botho Mokoto

    Issue: Volume 5, Issue 6, November 2016
    Pages: 365-375
    Received: Oct. 10, 2016
    Accepted: Oct. 22, 2016
    Published: Nov. 14, 2016
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    Abstract: In this paper, extremes of quarterly maximum surface air temperature are modelled by employing the block maxima approach to extreme value analysis. The aim of the paper is to predict the future behaviour of the quarterly maximum surface air temperatures by estimating their high quantiles using the generalized extreme value distribution, an extreme ... Show More
  • A New Non-parametric Test Procedure for the Median of an Asymmetrical Population

    Mohammad Ibrahim Ahmmad Soliman Gaafar

    Issue: Volume 5, Issue 6, November 2016
    Pages: 376-386
    Received: Oct. 11, 2016
    Accepted: Oct. 25, 2016
    Published: Nov. 17, 2016
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    Abstract: This paper proposes and investigates the performance of a new non-parametric test procedure for the median of a non-normal population when the symmetry assumption is suspected. The new test procedure uses the Yeo-Johnson family of power transformations and the Shapiro-Wilk test of normality to modify the classical normal scores test. Under skewed m... Show More
  • A Screening Experiment on a Diabetes Mellitus Herbal Formulation

    Gladys Gakenia Njoroge, Joseph Arap Koske, Jemimah Ayuma Simbauni

    Issue: Volume 5, Issue 6, November 2016
    Pages: 387-394
    Received: Oct. 15, 2016
    Accepted: Oct. 27, 2016
    Published: Nov. 18, 2016
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    Abstract: Screening experiments are usually performed on mixtures in order to determine the experimental variables that have significant influence on the targeted response. In this study, a screening experiment was carried out on a herbal formulation prescribed by a registered Kenyan herbalist to diabetes mellitus type II patients. The herbal formulation was... Show More