We show that the exact distribution of a positive linear combination of independent Gumbel random variables can be written as the sum of a linear combination of independent log Gamma distributions, and an independent shifted Generalized Integer Gamma distribution. Given the complexity of this exact distribution, we develop a near-exact distribution using a shifted Generalized Near-Integer Gamma...

3 Spontaneous Fission and Neutron-Induced Fission 3 3.1 Neutron number distribution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 3.2 Neutron energy distribution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 3.3 Gamma-ray number distribution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 3.4 Gamma-ray energy distribution . . ...

A theorem due to L. J. Gleser stating that a gamma distribution with shape parameter no greater than one is a mixed exponential distribution is extended to generalized gamma distributions introduced by E. W. Stacy as a special family of lifetime distributions containing both gamma distributions, exponential power and Weibull distributions. It is shown that the mixing distribution is a scale mix...

the implementation of different silvicultural systems can be effective on different characteristics of forest stands, such as stand structure and diameter distribution of trees. this study was carried out in shafaroud forests of gilan province of northern iran. the objectives of this research were 1) to evaluate the suitability of different probability distribution functions, including weibull,...

the objective of this study was to compare the accuracy of estimating and predicting breeding values using two diverse approaches, gblup and bayesc, using simulated data under different quantitative trait locus(qtl) effect distributions. data were simulated with three different distributions for the qtl effect which were uniform, normal and gamma (1.66, 0.4). the number of qtl was assumed to be...

    In this research in order to frequency analysis of maximum daily rainfall in various climates of Iran the data of 40 synoptic rain gauges collected in 40 years period i.e., 1973 to 2012 were used. These stations are located in various climates of Iran according to De Martonne climatic classification. At first, input of data to HYFA package was performed. The mentioned package includes seven...

PURPOSE Although many models have been proposed to interpret non-Gaussian diffusion MRI data in biological tissues, it is often difficult to see the correlation between the MRI data and the histological changes in the tissue. Among these models, so called statistical models, which assume the diffusion coefficient D is distributed continuously within a voxel, are more suitable for interpreting t...

Frailty models account for the clustering present in event time data. A proportional hazards model with shared frailties expresses the hazard for each subject. Often a one-parameter gamma distribution is assumed for the frailties. In this paper, we construct formal goodness-of-fit tests to test for gamma frailties. We construct a new class of frailty models that extend the gamma frailty model b...