American Journal of Theoretical and Applied Statistics

Volume 5, Issue 3, May 2016

  • Regression Approach to Parameter Estimation of an Exponential Software Reliability Model

    Albert Orwa Akuno, Timothy Mutunga Ndonye, Janiffer Mwende Nthiwa, Luke Akong’o Orawo

    Issue: Volume 5, Issue 3, May 2016
    Pages: 80-86
    Received: Mar. 10, 2016
    Accepted: Apr. 05, 2016
    Published: Apr. 21, 2016
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    Abstract: Mathematical studies about the likelihood of failures of software systems have been advanced by various researchers. These studies have modeled the behavior of software systems by using failure times and time between failures in the past. The Goel-Okumoto software reliability model is amongst the many software reliability models proposed to model t... Show More
  • Dependency of the Distribution of Salmonella-Specific Antibodies SP-Ratios on Weight and Sampling Time

    Isaac Akpor Adjei, Md. Rezaul Karim, Rachid Muleia, Peter Jouck

    Issue: Volume 5, Issue 3, May 2016
    Pages: 87-93
    Received: Mar. 28, 2016
    Accepted: Apr. 14, 2016
    Published: Apr. 26, 2016
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    Abstract: Salmonella is one of the major sources of toxin-infection in humans worldwide and is due to transmission of pathogens via pork. This paper aims at investigating the effect of season and animal weight on SP-ratio. Pigs were sampled from different herds and SP-ratios were measured and categorized into two different groups. Depending on the categoriza... Show More
  • A Multivariate Statistical Research on Engagement of University Students: A Case Study in Greece

    Ioannis S. Triantafyllou

    Issue: Volume 5, Issue 3, May 2016
    Pages: 94-100
    Received: Apr. 07, 2016
    Accepted: Apr. 18, 2016
    Published: Apr. 28, 2016
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    Abstract: In the present article we study the engagement of University students. Data drawn from the Faculty of Health and Caring Professions of a Greek University, are properly analyzed via inferential statistics in order to detect characteristics that affect significantly the engagement of students. Factor analysis has been also applied and revealed the ex... Show More
  • Modeling and Forecasting Consumer Price Index (Case of Rwanda)

    Habimana Norbert, Anthony Wanjoya, Anthony Waititu

    Issue: Volume 5, Issue 3, May 2016
    Pages: 101-107
    Received: Apr. 10, 2016
    Accepted: Apr. 20, 2016
    Published: May 03, 2016
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    Abstract: Consumer price index is a measure of the average change over time in the price of consumer items, goods and services that households buy for day to day living. It is one of the main indicators of economic performance and also the key indicator of the results of the monetary policy of the country, because of its wide use as a measure of inflation. T... Show More
  • A Multivariate Analysis of the Effect of Mobile Phone Money Transfer on Micro and Small Enterprises, Thika Town (Kenya)

    Beatrice Karanja Kimani, Jemimah Wangui Muraya, Christopher Ouma Onyango

    Issue: Volume 5, Issue 3, May 2016
    Pages: 108-114
    Received: Apr. 13, 2016
    Accepted: Apr. 20, 2016
    Published: May 03, 2016
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    Abstract: The introduction of mobile money transfers (MMT) services has increased access to banking services among business entrepreneurs. This facilitates quick and secure platform for small savings to a majority of both rural and urban populations. The MSEs are increasingly adopting the use of mobile money transfers to increase the quality of their service... Show More
  • Performance of Two Generating Mechanisms in Detection of Outliers in Multivariate Time Series

    Olufolabo Olusesan Oluyomi., Shittu Olarenwaju Ismail., Adepoju Kazeem Adesola.

    Issue: Volume 5, Issue 3, May 2016
    Pages: 115-122
    Received: Apr. 05, 2016
    Accepted: Apr. 25, 2016
    Published: May 10, 2016
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    Abstract: This work is focused on developing two outlier generating mechanisms for the detection of outliers in the multivariate time series setting that is capable of ameliorating the swamping effect on regular observations in time series data. Specifying two-variable Vector Autoregressive (VAR) models and assuming innovative and multiplicative effect of ou... Show More
  • Actuarial Analysis of Single Life Status and Multiple Life Statuses

    Abonongo John, Luguterah Albert

    Issue: Volume 5, Issue 3, May 2016
    Pages: 123-131
    Received: Apr. 12, 2016
    Accepted: Apr. 22, 2016
    Published: May 10, 2016
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    Abstract: Actuaries frequently employ probability models to analyse situations involving uncertainty. They are also not simply interested in modelling the future states of a subject but also model cash flows associated with future states. This study compared single life status and multiple life statuses using life functions. The expected time until death, an... Show More
  • Human Fertility Behavior Through Birth Interval Models: Overview

    Ajay Shankar Singh

    Issue: Volume 5, Issue 3, May 2016
    Pages: 132-137
    Received: Mar. 18, 2016
    Accepted: Mar. 24, 2016
    Published: May 17, 2016
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    Abstract: Fertility is one of the responsible factors for the growth of human population. The demographers have given priority to understanding of the determinants of fertility through statistical techniques. Analytical models are suitable and appropriate tools and are widely used for better understanding of the phenomenon of the human fertility behavior. In... Show More
  • An Almost Unbiased Estimator in Group Testing with Errors in Inspection

    Langat Erick Kipyegon, Tonui Benard Cheruiyot, Langat Reuben Cheruiyot

    Issue: Volume 5, Issue 3, May 2016
    Pages: 138-145
    Received: Apr. 26, 2016
    Accepted: May 09, 2016
    Published: May 25, 2016
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    Abstract: The idea of pooling samples into pools as a cost effective method of screening individuals for the presence of a disease in a large population is discussed. Group testing was designed to reduce diagnostic cost. Testing population in pools also lower misclassification errors in low prevalence population. In this study we violate the assumption of ho... Show More
  • On Consistency of Tests for Stationarity in Autoregressive and Moving Average Models of Different Orders

    Akeyede Imam, Danjuma Habiba, Bature Tajudeen Atanda

    Issue: Volume 5, Issue 3, May 2016
    Pages: 146-153
    Received: Apr. 26, 2016
    Accepted: May 11, 2016
    Published: May 25, 2016
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    Abstract: The most important assumptions about econometrics and time series data is stationarity, This study therefore suggests that, in trying to decide by classical methods whether economic data are stationary or not, it would be useful to perform tests of the null hypothesis of stationarity as well as tests of the null hypothesis of a unit root. The study... Show More
  • Parameter Estimation of Kumaraswamy Distribution Based on Progressive Type II Censoring Scheme Using Expectation-Maximization Algorithm

    Wafula Mike Erick, Kemei Anderson Kimutai, Edward Gachangi Njenga

    Issue: Volume 5, Issue 3, May 2016
    Pages: 154-161
    Received: May 03, 2016
    Accepted: May 23, 2016
    Published: Jun. 01, 2016
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    Abstract: This project considers the parameter estimation problem of test units from Kumaraswamy distribution based on progressive Type-II censoring scheme. The progressive Type-II censoring scheme allows removal of units at intermediate stages of the test other than the terminal point. The Maximum Likelihood Estimates (MLEs) of the parameters are derived us... Show More