American Journal of Theoretical and Applied Statistics

Volume 6, Issue 3, May 2017

  • Characterization of the Linear Failure Rate Distribution by General Progressively Type-II Right Censored Order Statistics

    M. M. Mohie El-Din, A. Sadek, Marwa M. Mohie El-Din, A. M. Sharawy

    Issue: Volume 6, Issue 3, May 2017
    Pages: 129-140
    Received: Mar. 04, 2017
    Accepted: Mar. 20, 2017
    Published: Apr. 11, 2017
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    Abstract: In this article, we establish recurrence relations among single moments and among product moments of general progressively Type-II right censored order statistics and characterization for linear failure rate distribution using recurrence relations of single moments and product moments of general progressively Type-II right censored order statistics... Show More
  • Estimation of the Parameters of Poisson-Exponential Distribution Based on Progressively Type II Censoring Using the Expectation Maximization (Em) Algorithm

    Joseph Nderitu Gitahi, John Kung’u, Leo Odongo

    Issue: Volume 6, Issue 3, May 2017
    Pages: 141-149
    Received: Mar. 16, 2017
    Accepted: Apr. 06, 2017
    Published: Apr. 27, 2017
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    Abstract: This paper considers the parameter estimation problem of test units from Poisson-Exponential distribution based on progressively type II right censoring scheme. The maximum likelihood estimators (MLEs) for Poisson-Exponential parameters are derived using Expectation Maximization (EM) algorithm. EM-algorithm is also used to obtain the estimates as w... Show More
  • Application of Conditional Autoregressive Value at Risk Model to Kenyan Stocks: A Comparative Study

    Winnie Mbusiro Chacha, P. Mwita, B. Muema

    Issue: Volume 6, Issue 3, May 2017
    Pages: 150-155
    Received: Oct. 28, 2015
    Accepted: Nov. 06, 2015
    Published: May 22, 2017
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    Abstract: Value at Risk (VaR) became the industry accepted measure for risk by financial institutions and their regulators after the Basel I Accords agreement of 1996. As a result, many methodologies of estimating VaR models used to carry out risk management in finance have been developed. Engle and Manganelli (2004) developed the Conditional Autoregressive ... Show More
  • On a New Class of Regular Doubly Stochastic Processes

    Reza Farhadian, Nader Asadian

    Issue: Volume 6, Issue 3, May 2017
    Pages: 156-160
    Received: Mar. 17, 2017
    Accepted: Mar. 29, 2017
    Published: May 25, 2017
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    Abstract: In this article, we show that the well-known Helmert matrix has strong relationship with stochastic matrices in modern probability theory. In fact, we show that we can construct some stochastic matrices by the Helmert matrix. Hence, we introduce a new class of regular and doubly stochastic matrices by use of the Helmert matrix and a special diagona... Show More
  • Modelling and Forecasting Inflation Rate in Kenya Using SARIMA and Holt-Winters Triple Exponential Smoothing

    Caspah Lidiema

    Issue: Volume 6, Issue 3, May 2017
    Pages: 161-169
    Received: Apr. 05, 2017
    Accepted: Apr. 13, 2017
    Published: May 25, 2017
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    Abstract: In this paper, two models of forecasting are used the Box-Jenkins procedure employing the SARIMA and the Holt-Winters triple exponential smoothing. Published Consumer Price Index Data from Kenya National Bureau of Statistics (KNBS) for the period November 2011 to October 2016 was used. This paper we equate the forecasted values of both the models a... Show More
  • Logistic Mixed Modelling of Determinants of International Migration from the Southern Ethiopia: Small Area Estimation Approach

    Tsedeke Lambore Gemecho, Ayele Taye Goshu

    Issue: Volume 6, Issue 3, May 2017
    Pages: 170-182
    Received: Mar. 29, 2017
    Accepted: Apr. 15, 2017
    Published: May 27, 2017
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    Abstract: The main objective of this study is to investigate socio-demographic and economic characteristics of a household on international migration and to estimate small area proportions at district and enumeration area level. Migration status refers to whether a household has at least one member who ever migrated abroad or not. A total of 2288 data are co... Show More