American Journal of Theoretical and Applied Statistics

Volume 5, Issue 1, January 2016

  • Comparison of Convenience Sampling and Purposive Sampling

    Ilker Etikan, Sulaiman Abubakar Musa, Rukayya Sunusi Alkassim

    Issue: Volume 5, Issue 1, January 2016
    Pages: 1-4
    Received: Nov. 23, 2015
    Accepted: Dec. 06, 2015
    Published: Dec. 22, 2015
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    Abstract: This article studied and compared the two nonprobability sampling techniques namely, Convenience Sampling and Purposive Sampling. Convenience Sampling and Purposive Sampling are Nonprobability Sampling Techniques that a researcher uses to choose a sample of subjects/units from a population. Although, Nonprobability sampling has a lot of limitations... Show More
  • A Brief Review of Tests for Normality

    Keya Rani Das, A. H. M. Rahmatullah Imon

    Issue: Volume 5, Issue 1, January 2016
    Pages: 5-12
    Received: Dec. 24, 2015
    Accepted: Jan. 05, 2016
    Published: Jan. 27, 2016
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    Abstract: In statistics it is conventional to assume that the observations are normal. The entire statistical framework is grounded on this assumption and if this assumption is violated the inference breaks down. For this reason it is essential to check or test this assumption before any statistical analysis of data. In this paper we provide a brief review o... Show More
  • Kernel-Type Estimators of Divergence Measures and Its Strong Uniform Consistency

    Hamza Dhaker, Papa Ngom, El Hadji Deme, Pierre Mendy

    Issue: Volume 5, Issue 1, January 2016
    Pages: 13-22
    Received: Jan. 08, 2016
    Accepted: Jan. 23, 2016
    Published: Feb. 16, 2016
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    Abstract: Nonparametric density estimation, based on kernel-type estimators, is a very popular method in statistical research, especially when we want to model the probabilistic or stochastic structure of a data set. In this paper, we investigate the asymptotic confidence bands for the distribution with kernel-estimators for some types of divergence measures... Show More
  • A Review on ‘Probability and Stochastic Processes’

    Bodo Herzog

    Issue: Volume 5, Issue 1, January 2016
    Pages: 23-26
    Received: Jan. 17, 2016
    Accepted: Jan. 26, 2016
    Published: Feb. 16, 2016
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    Abstract: This paper is a commentary on the book ‘Probability and Stochastic Processes’ from Ionut Florescu. The book is an excellent introduction to both probability theory and stochastic processes. It provides a comprehensive discussion of the main statistical concepts including the theorems and proofs. The introduction to probability theory is easy access... Show More
  • Tempering Process Optimization in Sae 9254 Wires Through Generalized Reduced Gradient, Genetic Algorithms and Simulated Annealing

    Cristie Diego Pimenta, Messias Borges Silva, Rosinei Batista Ribeiro, Rose Lima de Morais Campos, Walfredo Ribeiro de Campos Junior, Jorge Luiz Rosa

    Issue: Volume 5, Issue 1, January 2016
    Pages: 27-38
    Received: Jan. 15, 2016
    Accepted: Feb. 03, 2016
    Published: Feb. 23, 2016
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    Abstract: The purpose of this work was the creation of a statistical modeling able to replace the process used to setup of the ovens of the quench hardening and tempering that is traditionally accomplished through adjustments made based on the results of mechanical properties as tested in laboratory and required in customer specifications. We sought to under... Show More