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Showing 5 results for Characterization
Fatemeh Hooti, Jafar Ahmadi,
Volume 10, Issue 1 (8-2016)
Abstract
In this paper, the quantile function is recalled and some reliability measures are rewritten in terms of quantile function. Next, quantile based dynamic cumulative residual entropy is obtained and some of its properties are presented. Then, some characterization results of uniform, exponential and Pareto distributions based on quantile based dynamic cumulative entropy are provided. A simple estimator is also proposed and its performance is studied for exponential distribution. Finally discussion and results are presented.
Vahideh Ahrari, Simindokht Baratpour, Arezo Habibirad,
Volume 12, Issue 2 (3-2019)
Abstract
Entropy plays a fundamental role in reliability and system lifetesting areas. In the recent studies, much attentions have been paid to use quantile functions properties and their applications as an alternate approac in distinguishing statistical models and analysis of data. In the present paper, quantile based residual Tsallis entropy is introduced and its properties in continuous models are investigated. Considering distributions of certain lifetime, explicit versions for quantile based residual Tsallis entropy are obtained and their properties monotonicity are studied and characterization based on this entropy is investigated. Also quantile based Tsallis divergence is introduced and quantile based residual Tsallis divergence is obtained. Finally, an estimator for the quantile based residual Tsallis entropy is introduced and its performance is investigate by study simulation.
Masoumeh Akbari Lakeh, Zohreh Safarzadeh,
Volume 12, Issue 2 (3-2019)
Abstract
The Pareto distribution has many applications in economics and actuarial sciences. So far, a lot of properties of this distribution based on order data such as order statistics and records are studied. In this paper, a new version of notion of near-record observations is defined. Then, some results of characterization of Pareto distribution based on this new definition are obtained.
Doctor Masoumeh Akbari, Mrs Arefeh Kasiri, Doctor Kambiz Ahmadi,
Volume 17, Issue 1 (9-2023)
Abstract
In this paper, quantile-based dynamic cumulative residual and failure extropy measures are introduced. For a presentation of their applications, first, by using the simulation technique, a suitable estimator is selected to estimate these measures from among different estimators. Then, based on the equality of two extropy measures in terms of order statistics, symmetric continuous distributions are characterized. In this regard, a measure of deviation from symmetry is introduced and how it is applied is expressed in a real example. Also, among the common continuous distributions, the generalized Pareto distribution and as a result the exponential distribution are characterized, and based on the obtained results, the exponentiality criterion of a distribution is proposed.
Ali Khosravi Tanak, M. Fashandi, J. Ahmadi, M. Najafi,
Volume 17, Issue 2 (2-2024)
Abstract
Record values have many applications in reliability theory, such as the shock and minimal repairs models. In this regard, many works have been done based on records in the classical model. In this paper, the records are studied in the geometric random model. The concept of the mean residual of records is defined in the random record model and some of its properties are investigated in the geometric random record model. Then, it is shown that the parent distribution can be characterized by using the sequence of the mean residual of records in a geometric random model. Finally, the application of the characterization results to job search models in labor economics is mentioned.
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