Litcius/Paper detail

Neutrosophic Topp-Leone Distribution for Interval-Valued Data Analysis

Muhammad Ahsan ul Haq, Javeria Zafar, Muhammad Aslam, Saadia Tariq

2024Journal of Statistical Theory and Applications10 citationsDOIOpen Access PDF

Abstract

Abstract Many issues in real life are riddled with confusion, vagueness, and ambiguity. The Topp-Leone distribution is a significant one-parameter probability distribution in the context of classical probability theory. There is a gap in the literature when it comes to dealing with circumstances involving interval-valued data with a classical Topp-Leone distribution. So, in this connection, neutrosophic Topp-Leone distribution is presented in this paper as an extension of the traditional Topp-Leone distribution. The new neutrosophic distribution takes into account the indeterminacy and crisp form of interval-valued distributions. The suggested distribution's mathematical features were derived, including moments and related measures, quantile function, survival, hazard, inverted hazard functions, and mills ratio. Maximum likelihood is used to estimate model parameters. Finally, a complex dataset is utilized to show the usefulness of the proposed distributions.

Topics & Concepts

MathematicsApplied mathematicsQuantile functionStatisticsEconometricsProbability density functionCumulative distribution functionFuzzy Systems and OptimizationEnergy Load and Power ForecastingGrey System Theory Applications