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

Abstract

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.

A New Two-Sided Class of Lifetime Distributions: Applications to Complete and Right Censored Data

“…It is worthwhile to note that the proposed method in (7) is applicable for any arbitrary Unit-interval distribution such as Beta distribution. In the following lemma, we investigate the relation between T SP and T SKW models.…”

“…We fit the proposed distribution to these two data sets by ML and bootstrap methods and compare the results with the gamma, Weibull, two-sided generalized exponential (T SGE) by Korkmaz and Genc ¸ [13], transmuted twosided generalized exponential (T T SGE) by Kharazmi and Zargar [7], generalized exponential (GE) and weighted exponential (W E) distributions with respective densities…”

“…Further, Korkmaz and Genc [13] extended the idea of two-sidedness to other ordinary distributions like normal distribution which is called the two-sided generalized normal distribution. Kharazmi et al [9] introduced generalized odd transmuted two-sided class of distributions. A general class of two-sided distributions has proposed by Kharazmi et al [8].…”

The Type II Exponentiated Half Logistic-Gompertz-G Power Series Class of Distributions: Properties and Applications

“…Various distributions have been proposed in existing literature to model lifetime data using compounding method. Examples include the type II Exponentiated Half-Logistic-Topp-Leone-G power series class of distributions by Moakofi et al [17], a new generalized family of lifetime distributions by Goldoust et al [13], a new two-sided class of lifetime distributions by Kharazmi et al [15], and the Odd Log-Logistic Transmuted-G family of distributions by Alizadeh et al [2].…”