The Kumaraswamy-Generalized Exponentiated Pareto Distribution
نویسنده
چکیده
The modeling and analysis of lifetimes is an important aspect of statistical work in a wide variety of scientific and technological fields. For the first time the Kum-GEP distribution is introduced and studied. This distribution can have a decreasing and upside-down bathtub failure rate function depending on the value of its parameters; it's including some special sub-model like exponentiated Pareto Distribution and its original form. Some structural properties of the proposed distribution are studied including explicit expressions for the moments. We provide the density functions of the order statistics and obtain their moments. The method of maximum likelihood is used for estimating the model parameters and the observed information matrix is derived. The real data is provided to illustrate the theoretical results in the complete data.
منابع مشابه
A New Weibull-Pareto Distribution: Properties and Applications
Many distributions have been used as lifetime models. In this article, we propose a new threeparameter Weibull–Pareto distribution, which can produce the most important hazard rate shapes, namely, constant, increasing, decreasing, bathtub, and upsidedown bathtub. Various structural properties of the new distribution are derived including explicit expressions for the moments and incomplete momen...
متن کاملDetecting Outliers in Exponentiated Pareto Distribution
In this paper, we use two statistics for detecting outliers in exponentiated Paretodistribution. These statistics are the extension of the statistics for detecting outliers inexponential and gamma distributions. In fact, we compare the power of our test statisticsbased on the simulation study and identify the better test statistic for detecting outliers inexponentiated Pareto distribution. At t...
متن کاملExponentiated Kumaraswamy-Dagum distribution with applications to income and lifetime data
A new family of distributions called exponentiated Kumaraswamy-Dagum (EKD) distribution is proposed and studied. This family includes several well known sub-models, such as Dagum (D), Burr III (BIII), Fisk or Log-logistic (F or LLog), and new sub-models, namely, Kumaraswamy-Dagum (KD), Kumaraswamy-Burr III (KBIII), Kumaraswamy-Fisk or Kumaraswamy-Log-logistic (KF or KLLog), exponentiated Kumara...
متن کاملThe Exponentiated Generalized NH Distribution
Nadarajah and Haghighi (2011) introduced a new generalization of the exponential distribution as an alternative to the gamma, Weibull and exponeniated exponential distributions. In this paper, a generalization of the Nadarajah– Haghighi (NH) distribution namely exponentiated generalized NH distribution is introduced and discussed. The properties and applications of proposed model to real dat...
متن کاملEstimation of Tail-probability and Reliability in Exponentiated Pareto Case
An exponentiated Pareto distribution is defined. We then consider maximum likelihood estimator (MLE) of the threshold parameter β with known parameters α and c for the exponentiated Pareto distribution in (2.1) and then obtain the MLE of the tail-probability of the exponentiated Pareto distribution. Finally, we consider MLE of reliability in two independent exponentiated Pareto distributions.
متن کامل