http://starc.stthomas.ac.in:8080/xmlui/xmlui/handle/123456789/378 Mon, 20 Apr 2026 13:50:52 GMT 2026-04-20T13:50:52Z http://starc.stthomas.ac.in:8080/xmlui/xmlui/handle/123456789/411 Transmuted Exponentiated Kumaraswamy Distribution Joseph, Jeena; Ravindran, Meera In this paper, a generalization of the Exponentiated Kumaraswamy distribution referred to as the Transmuted Exponentiated Kumaraswamy distribution is proposed. The new transmuted distribution is developed using the quadratic rank transmutation map. The mathematical properties of the new distribution is provided. Explicit expressions are derived for the moments, incomplete moments, moment generating function, quantile function, entropy, mean deviation and order statistics. Survival analysis is also performed. The distribution parameters are estimated using the method of maximum likelihood. Simulation of random variables is performed in order to investigate the performance of the estimates. An analysis using real life data is conducted to demonstrate the usefulness of the proposed distribution. Wed, 01 Mar 2023 00:00:00 GMT http://starc.stthomas.ac.in:8080/xmlui/xmlui/handle/123456789/411 2023-03-01T00:00:00Z http://starc.stthomas.ac.in:8080/xmlui/xmlui/handle/123456789/409 Topp-Leone Generated q-Weibull Distribution and its Applications Sebastian, Nicy; Joseph, Jeena; Santhosh, Sona In this paper, we introduce a new generated distribution called the Topp-Leone Generated q-Weibull(TLqW) Distribution. The described distribution’s many distributional attributes and reliability traits are covered. Some well-known special cases of the mentioned model are also listed. When the lifetimes follow this distribution, it is better to establish a new reliability test plan, which aids in picking the best choices. The maximum likelihood method is investigated for parameter estimation in models. Using actual data sets, we used empirical evidence to demonstrate the value and adaptability of the new model in the model building process. The new test plan is then used to demonstrate how it may be used for creating dependable software in commercial settings. Sat, 15 Apr 2023 00:00:00 GMT http://starc.stthomas.ac.in:8080/xmlui/xmlui/handle/123456789/409 2023-04-15T00:00:00Z http://starc.stthomas.ac.in:8080/xmlui/xmlui/handle/123456789/406 POWER WEIBULL QUANTILE FUNCTION AND IT’S RELIABILITY ANALYSIS Joseph, Jeena; Tony, Sonitta In this article, we propose a new class of distributions defined by a quantile function, which is the sum of the quantile functions of the Power and Weibull distributions. Various distributional properties and reliability characteristics of the class are discussed. To examine the usefulness of the model, the model is applied to a real life datasets. Parameters are estimated using maximum likelihood estimation technique. Fri, 01 Dec 2023 00:00:00 GMT http://starc.stthomas.ac.in:8080/xmlui/xmlui/handle/123456789/406 2023-12-01T00:00:00Z http://starc.stthomas.ac.in:8080/xmlui/xmlui/handle/123456789/394 Type 1 Topp-Leone q−Exponential Distribution and its Applications Sebastian, Nicy; Joseph, Jeena; Princy, T. The main purpose of this paper is to discuss a new lifetime distribution, called the type 1 Topp-Leone generated q-exponential distribution(Type 1 TLqE). Using the quantile approach various distributional properties, L−moments, order statistics, and reliability properties were established. We suggested a new reliability test plan, which is more advantageous and helps in making optimal decisions when the lifetimes follow this distribution. The new test plan is applied to illustrate its use in industrial contexts. Finally, we proved empirically the importance and the flexibility of the new model in model building by using a real data set. Thu, 01 Sep 2022 00:00:00 GMT http://starc.stthomas.ac.in:8080/xmlui/xmlui/handle/123456789/394 2022-09-01T00:00:00Z