International Journal of Statistical Distributions and Applications

Volume 1, Issue 1, September 2015

  • Characterizations and Infinite Divisibility of Extended COM-Poisson Distribution

    Huiming Zhang

    Issue: Volume 1, Issue 1, September 2015
    Pages: 1-4
    Received: 9 August 2015
    Accepted: 26 August 2015
    Published: 27 August 2015
    DOI: 10.11648/j.ijsd.20150101.11
    Abstract: This article provides some characterizations of extended COM-Poisson distribution: conditional distribution given the sum, functional operator characterization (Stein identity). We also give some conditions such that the extended COM-Poisson distribution is infinitely divisible, hence some subclass of extended COM-Poisson distributions are discrete... Show More
  • Analysis of the Variable Life Insurance Based on Log-Normal Distribution

    Shiqi Dong, Shan Pang

    Issue: Volume 1, Issue 1, September 2015
    Pages: 5-11
    Received: 20 August 2015
    Accepted: 28 August 2015
    Published: 2 September 2015
    DOI: 10.11648/j.ijsd.20150101.12
    Abstract: Fixed rate, premiums and insurance coverage for policyholders and insurance companies in traditional life insurance have increased certain risks. For this reason, we consider studying variable life insurance. The biggest difference between the two insurance is that whether the actual death benefit of volatility is changeable. This paper studied the... Show More
  • Optimal Search and Rescue Model: Updating Probability Density Map of Debris Location by Bayesian Method

    Lu Yadong, Zhou Ya

    Issue: Volume 1, Issue 1, September 2015
    Pages: 12-18
    Received: 5 September 2015
    Accepted: 16 September 2015
    Published: 16 September 2015
    DOI: 10.11648/j.ijsd.20150101.13
    Abstract: Optimizing search and rescue plan for the distressed planes calls for analysis of the debris location as well as a systematic way of searching. The searching plan consists of three main parts: simulating possible trajectory, produce a probability density map of the debris' location and generating an optimal searching plan using Dinkelbach's algorit... Show More
  • Two-Sided Generalized Gumbel Distribution with Application to Air Pollution Data

    Mustafa Ç. Korkmaz

    Issue: Volume 1, Issue 1, September 2015
    Pages: 19-26
    Received: 21 September 2015
    Accepted: 6 October 2015
    Published: 14 October 2015
    DOI: 10.11648/j.ijsd.20150101.14
    Abstract: We introduce a univariate generalized form of the Gumbel distribution via two-sided distribution structure. We obtain its some properties such as special cases, density shapes, hazard rate function and moments. We give the maximum likelihood estimators of this two-sided generalized Gumbel distribution with an algorithm. Finally, a real data applica... Show More
  • Using Maximum Likelihood Ratio Test to Discriminate Between the Inverse Gaussian and Gamma Distributions

    Zakariya Y. Algamal

    Issue: Volume 1, Issue 1, September 2015
    Pages: 27-32
    Received: 27 September 2015
    Accepted: 8 October 2015
    Published: 14 October 2015
    DOI: 10.11648/j.ijsd.20150101.15
    Abstract: One of the problems that appear in reliability and survival analysis is how we choose the best distribution that fitted the data. Sometimes we see that the handle data have two fitted distributions. Both inverse Gaussian and gamma distributions have been used among many well-known failure time distributions with positively skewed data. The problem ... Show More