American Journal of Theoretical and Applied Statistics

Volume 6, Issue 1, January 2017

  • Estimation of Parameters of the Two-Parameter Rayleigh Distribution Based on Progressive Type-II Censoring Using Maximum Likelihood Method via the NR and the EM Algorithms

    Murithi Daniel Fundi, Edward Gachangi Njenga, Kemboi George Keitany

    Issue: Volume 6, Issue 1, January 2017
    Pages: 1-9
    Received: 15 November 2016
    Accepted: 30 November 2016
    Published: 20 December 2016
    Abstract: In this article, Maximum likelihood estimates for the shape and scale parameters of two-parameter Rayleigh distribution are obtained based on progressive type-II censored samples using the Newton-Raphson (NR) method and the Expectation-Maximization (EM) algorithm. A simple algorithm discussed in [2-3] is used for generating progressive type-II cens... Show More
  • Modeling Maternal Risk Factors Affecting Low Birth Weight Among Infants in Kenya

    Nancy Wairimu Gathimba, Anthony Wanjoya, George Kipruto Kiplagat, Levi Mbugua, Koima Kibiwott

    Issue: Volume 6, Issue 1, January 2017
    Pages: 22-31
    Received: 8 December 2016
    Accepted: 20 December 2016
    Published: 18 January 2017
    Abstract: The strong association of birth weight with infant mortality is the main focus of birth weight research, with the assumption that birth weight is a major determinant of infant survival. Studies on factors of low birth weight in Kenya have neglected the flexible approach of using smooth functions for some covariates in models. Such flexible approach... Show More
  • A Model for Age-Specific Fertility Rate Pattern of India Using Skew-Logistic Distribution Function

    Ruchi Mishra, Kaushalendra Kumar Singh, Anjali Singh

    Issue: Volume 6, Issue 1, January 2017
    Pages: 32-37
    Received: 26 December 2016
    Accepted: 6 January 2017
    Published: 3 February 2017
    Abstract: Fertility governs central and positive role in the study of human population dynamics. The age-specific fertility pattern has a distinct shape for all human population, to describe which, a number of parametric models have been proposed. The purpose of this study is to develop a mathematical model for fitting age-specific fertility rate pattern of ... Show More
  • Principal Component Analysis of Crime Data in Gwagwalada Area Command, Abuja from 1995 – 2015

    Nasiru Mukaila Olakorede, Samuel Olorunfemi Adams, Samuel Olayemi Olanrewaju

    Issue: Volume 6, Issue 1, January 2017
    Pages: 38-43
    Received: 15 July 2016
    Accepted: 25 July 2016
    Published: 6 February 2017
    Abstract: This paper analyses Abuja crime data which consists of the averages of twenty major crimes reported to the police for the period 1995 – 2015. Correlation analysis and principal component analysis (PCA) were employed to explain the correlation between the crimes and to determine the distribution of the crimes over the three Area Councils under the G... Show More
  • Multivariate Regression Analysis of Oil Price Volatility on GDP Growth in Kenya

    Anthony Makau

    Issue: Volume 6, Issue 1, January 2017
    Pages: 44-51
    Received: 6 January 2017
    Accepted: 16 January 2017
    Published: 20 February 2017
    Abstract: Despite Oil being one of the key drivers of the world economy, the recent fluctuations in oil prices has brought concerns about possible slowdowns in economic growth globally. To cushion their economies from these oil price volatility shocks, a number of developing countries have made structural reforms in their macroeconomic policies as far as dom... Show More
  • Construction Procedure for Non-trivial T-designs

    John Chibayi, David Alila, Fredrick Onyango

    Issue: Volume 6, Issue 1, January 2017
    Pages: 52-60
    Received: 20 July 2016
    Accepted: 8 August 2016
    Published: 22 February 2017
    Abstract: A t-design is a generation of balanced incomplete block design (BIBD) where λ is not restricted to the blocks in which a pair of treatments occurs but to the number of blocks in which any t treatments (t = 2,3…) occurs. The problem of finding all parameters (t, v, k, λt) for which t-(v, k, λt) design exists is a long standing unsolved problem espec... Show More
  • The Usage of Emergency Contraceptive Methods of Female Students in Hawassa University: A Case Study on Natural and Computational Science

    Gezahegn Mekonnen, Nebro Wendmagegn, Demisew Gebiru

    Issue: Volume 6, Issue 1, January 2017
    Pages: 61-71
    Received: 17 December 2016
    Accepted: 3 January 2017
    Published: 24 February 2017
    Abstract: Students in the higher education are found in adolescent period. Because of this, they are exposed to unwanted pregnancy that leads them to attempt illegal abortion, which results in death or illness or loss of future fertility and on the other hand, they are obliged to leave their education. The objective of the study is to assess the factors that... Show More