American Journal of Theoretical and Applied Statistics

Volume 3, Issue 6, November 2014

  • Assessing the Lifetime Performance Index Using Exponentiated Frechet Distribution with the Progressive First-Failure-Censoring Scheme

    Ahmed Abo-Elmagd Soliman, Essam Al-Sayed Ahmed, Ahmed Hamed Abd Ellah, Al-Wageh Ahmed Farghal

    Issue: Volume 3, Issue 6, November 2014
    Pages: 167-176
    Received: 21 September 2014
    Accepted: 8 October 2014
    Published: 20 October 2014
    Abstract: Process capability analysis has been widely used to monitor the performance of industrial processes. In practice, lifetime performance index C_L is a popular means to assess the performance and potential of their processes, where L is the lower specification limit. This study constructs the maximum likelihood (ML) and the Bayesian estimators of C_L... Show More
  • Statistical Analysis of Domestic Price Volatility of Sugar in Ethiopia

    Anteneh Asmare Godana, Yibeltal Arega Ashebir, Tewodros Getinet Yirtaw

    Issue: Volume 3, Issue 6, November 2014
    Pages: 177-183
    Received: 26 August 2014
    Accepted: 9 September 2014
    Published: 30 October 2014
    Abstract: The aim of this study was to model and identify determinants of monthly domestic price volatility of sugar in Ethiopia over the study period from December 2001 to December 2011 GC. The volatility in the domestic price of Sugar has been found to vary over months suggesting the use of GARCH family approach. Thus, family of special characteristics of ... Show More
  • An Inquiry into the Distributional Properties of Reliability Rate

    Vijayamohanan Pillai N.

    Issue: Volume 3, Issue 6, November 2014
    Pages: 197-201
    Received: 24 October 2014
    Accepted: 6 November 2014
    Published: 20 November 2014
    Abstract: The present paper attempts to model the maximum likelihood estimation of reliability rate and the related statistical properties. Reliability in general refers to the probability that a component or system is able to perform its function satisfactorily during a specific period under normal operating conditions. It is estimated as the fraction of ti... Show More
  • Bayesian Inference for the Left Truncated Exponential Distribution Based on Pooled Type-II Censored Samples

    Mustafa Mohie El-Din, Yahia Abdel-Aty, Ahmed Shafay, Magdy Nagy

    Issue: Volume 3, Issue 6, November 2014
    Pages: 202-210
    Received: 18 November 2014
    Accepted: 28 November 2014
    Published: 2 December 2014
    Abstract: In this paper, the maximum likelihood and Bayesian estimations are developed based on the pooled sample of two independent Type-II censored samples from the left truncated exponential distribution. The Bayesian estimation is discussed using different loss functions. The problem of predicting the failure times from a future sample from the sample po... Show More
  • Modeling Export Price of Tea in Kenya: Comparison of Artificial Neural Network and Seasonal Autoregressive Integrated Moving Average

    Mbiriri Ikonya, Peter Mwita, Anthony Wanjoya

    Issue: Volume 3, Issue 6, November 2014
    Pages: 211-216
    Received: 13 November 2014
    Accepted: 21 November 2014
    Published: 19 December 2014
    Abstract: Agriculture sector is a key driver of economic growth in Kenya. It remains the main source of livelihood for the majority of the Kenyan people. Tea, coffee, and horticulture are the main agricultural exports in Kenya. Export price of these commodities fluctuates mainly due to law of demand and supply. Other reasons include; quality of goods and inf... Show More
  • Estimation of Parameters of the Kumaraswamy Distribution Based on General Progressive Type II Censoring

    Mostafa Mohie Eldin, Nora Khalil, Montaser Amein

    Issue: Volume 3, Issue 6, November 2014
    Pages: 217-222
    Received: 11 December 2014
    Accepted: 22 December 2014
    Published: 27 December 2014
    Abstract: In this paper, we produced a study in Estimation for parameters of the Kumaraswamy distribution based on general progressive type II censoring. These estimates are derived using the maximum likelihood and Bayesian approaches. In the Bayesian approach, the two parameters are assumed to be random variables and estimators for the parameters are obtain... Show More
  • Probability Model of Forward Birth Interval and Its Application

    Ajay Shankar Singh

    Issue: Volume 3, Issue 6, November 2014
    Pages: 223-227
    Received: 16 December 2014
    Accepted: 24 December 2014
    Published: 6 January 2015
    Abstract: In renewal theory approach, it is well known that the limiting forms of the probability density function of backward recurrence time and forward recurrence time which are similar to open birth interval and forward birth interval are identical on the assumption that the renewal densities do not change over time. The forward birth interval defined as... Show More