A generalization for two-sided power distributions and adjusted method of moments

Soltani, Aboozar; Homei, Hazhir

doi:10.1080/02331880802689506

Cited by 12 publications

(6 citation statements)

References 7 publications

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“…Indeed, k(z; x 1 , ..., x n ) is a big family of distributions that include Two-Sided Power (TSP) distributions and General Two-Sided Power (GTSP) distributions, see Soltani and Homei (2009b). The conditional kernel presented in (2.6) leads us to a fairly large class of conditional kernels.…”

Section: Some Earlier Resultsmentioning

confidence: 99%

A novel extension of randomly weighted averages

Homei

2014

Stat Papers

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We study a well-known problem concerning a random variable Z uniformly distributed between two independent random variables. A new extension has been introduced for this problem and fairly large classes of randomly weighted average distributions are identified by their generalized Stieltjes transforms. In this article we employ the Schwartz distribution theory for finding distributions of this extension; we also study some of their properties.

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Section: Some Earlier Resultsmentioning

confidence: 99%

A novel extension of randomly weighted averages

Homei

2014

Stat Papers

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“…The second data are from the New York State Department of Conservation correspond to the daily ozone level measurements in New York in May-September, 1973. The data are: 41, 36, 12,18,28,23,19,8,7,16,11,14,18,14,34,6,30,11,1,11,4,32,23,45,115,37,29,71,39,23,21,37,20,12,13,135,49,32,64,40,77,97,97,85,10,27,7,48,35,61,79,63,16,80,108,20,52,…”

Section: Discussionmentioning

confidence: 99%

“…Kurtosis properties of the distribution were studied by [9]. It can be easily seen that the T SP distribution is an open distribution to generalizations and some of them were defined and studied by several authors e. g. [33], [19], [26], [3], [30]. Similar to the way of the definition of the T SP, [34] defined and studied the two-sided generalized Topp and Leone distribution.…”

Section: Introductionmentioning

confidence: 99%

A Lifetime Distribution Based on a Transformation of a Two-Sided Power Variate

Korkmaz¹,

Genç²

2015

JSTA

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We introduce a new generalization of Weibull distribution by making use of a transformation of the standard two-sided power distributed random variable. Weibull and the exponentiated Weibull distributions are submodels of this new distribution. We show that this newly defined distribution is in fact a mixture of the truncated forms of Weibull and the exponentiated Weibull distributions. The new distribution has two shape parameters that make it more flexible for modeling data than Weibull and exponentiated Weibull distributions. We study its properties, consider the maximum likelihood estimation procedure and apply it on some real data sets from reliability.

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“…Van Dorp and Kotz [4] considered a family of continuous distributions on a bounded interval generated by convolutions of the TSP distributions. In recent years, a number of researchers have studied some generalization of the TSP distribution such as Nadarajah [5], Oruç and Bairamov [6], Vicari et al [7], Herrerías-Velasco et al [8], and Soltani and Homei [9]. Korkmaz and Genç [10] proposed a new generalization of Weibull distribution by making use of a transformation of the standard TSP distribution.…”

Section: Introductionmentioning

confidence: 99%

A New Generalized Two-Sided Class of the Distributions Via New Transmuted Two-Sided Bounded Distribution

Kharazmi¹,

Zargar²

2019

JSTA

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In the present paper, we first consider a generalization of the standard two-sided power distribution so-called the transmuted two-sided distribution, and then extend proposed idea to generalized two-sided class of distributions, introduced by Korkmaz and Genç [1]. Some statistical and reliability properties including explicit expressions for quantiles, hazard rate function, order statistics, and maximum likelihood estimation are obtained in general setting. Generalized transmuted two-sided exponential distribution is considered as a especial case and denoted with the name TTSG − G. A simulation study is presented to investigate the bias and mean square error of the maximum likelihood estimators. We use a real data set and obtain the maximum likelihood and parametric bootstrap estimator of the parameters of TTSG − G distribution. Finally, the superiority of the new model to some common statistical distributions is shown through the different criteria of selection model including log-likelihood values, Akaike information criterion, and Kolmogorov Smirnov test statistic values.

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A generalization for two-sided power distributions and adjusted method of moments

Cited by 12 publications

References 7 publications

A novel extension of randomly weighted averages

A novel extension of randomly weighted averages

A Lifetime Distribution Based on a Transformation of a Two-Sided Power Variate

A New Generalized Two-Sided Class of the Distributions Via New Transmuted Two-Sided Bounded Distribution

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