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Yayın Marshal Olkin Marshal Olkin gompertz distribution(Maltepe Üniversitesi, 2021) Al-Noor, Nadia Hashim; Khaleel, Mundher A.The aim of this paper is to propose a new flexible compound distribution named Marshal Olkin Marshal Olkin Gompertz (MOMOGo) distribution. Reliability characteristics besides several statistical properties of the proposed distribution have discussed. The maximum likelihood method, under a complete sample, is used to estimate the distribution parameters. Furthermore, two real data sets are considered to investigate the applicability of the proposed MOMOGo distribution.Yayın On the exponentiated weibull distribution(Maltepe Üniversitesi, 2019) Al-Noor, Nadia Hashim; Abid, Salah Hamza; Boshi, Mohammad Abd AlhusseinA new family of continuous distributions based on exponentiated Weibull distributions along with its special case named exponentiated Weibull - exponentiated Weibull distribution have been proposed. The probability density, cumulative distribution, reliability, and hazard rate functions are introduced. Moreover, the most essential statistical properties, simulated data, Shannon entropy, relative entropy, as well as the stress strength model are obtained.Yayın On the fuzzy reliability estimation for lomax distribution(Maltepe Üniversitesi, 2019) Al-Noor, Nadia HashimThis paper considers two procedures to estimate the fuzzy reliability for Lomax distribution. The first procedure depends on fuzzy reliability definition that uses the composite trapezoidal rule to find the numerical integration, and the second is the Bayesian procedure, which includes different cases depends on sample data and hyper-parameters of a prior gamma distribution with symmetric and asymmetric loss functions.Yayın On the generalized inverse weibull distribution(Maltepe Üniversitesi, 2019) Abid, Salah Hamza; Al-Noor, Nadia Hashim; Abd Alhussein Boshi, MohammadA new class of continuous distributions based on generalized inverse Weibull has been introduced. As a special case, generalized inverse Weibull - generalized inverse Weibull distribution is proposed. The probability density function, cumulative distribution function, reliability and hazard rate functions are introduced. Furthermore, most important statistical properties of the proposed distribution such as Shannon entropy, relative entropy, stress-strength model have been obtained.Yayın On the generalized inverse Weibull distribution(AIP Publishing, 2019) Abid, Salah Hamza; Al-Noor, Nadia Hashim; Boshi, Mohammad Abd Alhussein. A new class of continuous distributions based on generalized inverse Weibull has been introduced. As a special case, generalized inverse Weibull - generalized inverse Weibull distribution is proposed. The probability density function, cumulative distribution function, reliability and hazard rate functions are introduced. Furthermore, most important statistical properties of the proposed distribution such as Shannon entropy, relative entropy, stress-strength model have been obtained.Yayın Rayleigh Gamma gompertz distribution: Properties and applications(Maltepe Üniversitesi, 2021) Al-Noor, Nadia Hashim; Assi, Noor KareemIn this paper, Rayleigh Gamma Gompertz (RGGom), as a new compound distribution, is introduced. Various fundamental statistical properties of RGGom distribution, including explicit expressions for the non-central rth moment, characteristic function, quantile function and simulated data, Shannon and relative entropies, and reliability stress strength model, were studied and inspected. The unknown parameters of RGGom have been estimated using the estimation method of maximum likelihood. Furthermore, the RGGom distribution is applied upon a simulation study and two real-life data sets to assess its usefulness and flexibility.