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American Journal of Theoretical and Applied Statistics

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Volume 2, Issue 5, September 2013

  • On Nonnegative Integer-Valued Lévy Processes and Applications in Probabilistic Number Theory and Inventory Policies

    Huiming Zhang, Jiao He, Hanlin Huang

    Issue: Volume 2, Issue 5, September 2013
    Pages: 110-121
    Received: 3 August 2013
    Accepted:
    Published: 30 August 2013
    DOI: 10.11648/j.ajtas.20130205.11
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    Abstract: Discrete compound Poisson processes (namely nonnegative integer-valued Lévy processes) have the property that more than one event occurs in a small enough time interval. These stochastic processes produce the discrete compound Poisson distributions. In this article, we introduce ten approaches to prove the probability mass function of discrete comp... Show More
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  • Efficiency of Neyman Allocation Procedure over other Allocation Procedures in Stratified Random Sampling

    Olayiwola Olaniyi Mathew, Apantaku Fadeke Sola, Bisira Hammed Oladiran, Adewara Adedayo Amos

    Issue: Volume 2, Issue 5, September 2013
    Pages: 122-127
    Received: 6 August 2013
    Accepted:
    Published: 30 August 2013
    DOI: 10.11648/j.ajtas.20130205.12
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    Abstract: In sampling, we have interest in precision and in order to create the precision, we make use of prior knowledge of the population. We try to put the population into series of homogeneous groups and by this, the precision will be increased. When the population of interest can be divided into k homogeneous groups and the sample of observation is take... Show More
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  • Bayesian Estimation Using MCMC Approach Based on Progressive First-Failure Censoring from Generalized Pareto Distribution

    Mohamed Abdul Wahab Mahmoud, Ahmed Abo-Elmagd Soliman, Ahmed Hamed Abd Ellah, Rashad Mohamed El-Sagheer

    Issue: Volume 2, Issue 5, September 2013
    Pages: 128-141
    Received: 17 August 2013
    Accepted:
    Published: 30 August 2013
    DOI: 10.11648/j.ajtas.20130205.13
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    Abstract: In this paper, based on a new type of censoring scheme called a progressive first-failure censored, the maximum likelihood (ML) and the Bayes estimators for the two unknown parameters of the Generalized Pareto (GP) distribution are derived. This type of censoring contains as special cases various types of censoring schemes used in the literature. A... Show More
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  • Optimum Allocation of Multi-Items in Stratified Random Sampling Using Principal Component Analysis

    Apantaku Fadeke Sola., Olayiwola Olaniyi Mathew, Adewara Amos Adedayo

    Issue: Volume 2, Issue 5, September 2013
    Pages: 142-148
    Received: 6 August 2013
    Accepted:
    Published: 10 September 2013
    DOI: 10.11648/j.ajtas.20130205.14
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    Abstract: The problem of allocation with more than one characteristic in stratified sampling is conflicting in nature, as the best allocation for one characteristic will not in general be best for others. Some compromise must be reached to obtain an allocation that is efficient for all characteristics. In this study, the allocation of a sample to strata whic... Show More
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