On the Inverted Gamma Distribution
Salah H. Abid,
Saja A. Al-Hassany
Issue:
Volume 1, Issue 3, September 2016
Pages:
16-22
Received:
29 August 2016
Accepted:
14 September 2016
Published:
28 September 2016
DOI:
10.11648/j.ijssam.20160103.11
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Abstract: If a random variable follows a particular distribution then the distribution of the reciprocal of that random variable is called inverted distribution. In this paper we studied some issues related with inverted gamma distribution which is the reciprocal of the gamma distribution. We provide forms for the characteristic function, rth raw moment, skewness, kurtosis, Shannon entropy, relative entropy and Rényi entropy function. This paper deals also with the determination of R = P[Y < X] when X and Y are two independent inverted gamma distributions (IGD) with different scale parameters and different shape parameters. Different methods to estimate inverted gamma distribution parameters are studied, Maximum Likelihood estimator, Moments estimator, Percentile estimator, least square estimator and weighted least square estimator. An empirical study is conducted to compare among these methods.
Abstract: If a random variable follows a particular distribution then the distribution of the reciprocal of that random variable is called inverted distribution. In this paper we studied some issues related with inverted gamma distribution which is the reciprocal of the gamma distribution. We provide forms for the characteristic function, rth raw moment, ske...
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Fractional Calculus Model for the Hepatitis C with Different Types of Virus Genome
Moustafa El-Shahed,
Ahmed. M. Ahmed,
Ibrahim. M. E. Abdelstar
Issue:
Volume 1, Issue 3, September 2016
Pages:
23-29
Received:
6 September 2016
Accepted:
18 September 2016
Published:
11 October 2016
DOI:
10.11648/j.ijssam.20160103.12
Downloads:
Views:
Abstract: In this paper, a fractional order model to study the spread of HCV-subtype 4a amongst the Egyptian population is constructed. The stability of the boundary and positive fixed points is studied. The generalized Adams-Bashforth-Moulton method is used to solve and simulate the system of fractional differential equations.
