Archive:: International Journal of Statistical Distributions and Applications:: Science Publishing Group

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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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