A new method for generating distributions with an application to exponential distribution

By Abbas Mahdavi, Debasis Kundu. 2017

428 citations recorded by the source corpus.

Subfields: Global and Planetary Change, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/f131644d3dab66dfa920e46629183de4edeb4fa2

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In Global and Planetary Change

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Citations in the corpus

The Alpha Power Transformation Family: Properties and Applications (2019, methodology): “Concluding remarks In this paper, we investigate some mathematical properties of the alpha power transformation family (Mahdavi and Kundu, 2017) and propose a new four-parameter model, named the alpha power exponentiated Weibull (APEW) distribution, which extends the well-known exponentiated…”
Alpha power inverse Weibull distribution with reliability application (2019, methodology): “[14] Mahdavi A, KunduD.”
Alpha Power Inverted Exponential Distribution: Properties and Application (2018, methodology): “Mahdavi and Kundu [12] used APT method to the exponential distribution and obtain the alpha power exponential (APE) distribution.”
Alpha power transformed extended exponential distribution: properties and applications (2018, methodology): “The APTEE distribution contains special recent models, namely; APT exponential (Mahdavi and Kundu [15]) and APT Lindley (Dey et al. [6]).”
The Heavy-Tailed Exponential Distribution: Risk Measures, Estimation, and Application to Actuarial Data (2020, background): “We compare the goodness-of-fit results and some discrimination measures of the proposed distribution with some other well-known competing distributions, including the APE [20], ExE [21], beta exponential (BE) [32], E, extended odd Weibull exponential (EOWE) [33], exponentiated Weibull (ExW) [34], We”
A New Extension of Generalized Exponential Distribution with Application to Ozone Data (2017, methodology): “In this article, we propose a three-parameter distribution, referred to as α power transformed generalized exponential distribution ðαPTGEÞ using a similar idea to Mahdavi and Kundu (2017), which contains some special sub-models such as exponential; exponentiated exponential (Gupta and Kundu 1999, 2”
Odd Generalized N-H Generated Family of Distributions with Application to Exponential Model (2020, neutral): “Alpha power exponential studied by Mahdavi and Kundu (2017) 𝐺(𝑥) = 𝛼(1−𝑒 −𝛽𝑥) − 1 𝛼 − 1 , 𝑥, 𝛼, 𝛽 > 0, 𝛼 ≠ 1.”
A New Three-Parameter Exponential Distribution with Variable Shapes for the Hazard Rate: Estimation and Applications (2020, methodology): “The EOWEx model is compared with other some competitive models called, the exponentiated exponential (EEx) (Gupta and Kundu, [2]), beta exponential (BEx) (Nadarajah and Kotz, [18]), alpha power exponential (APEx) (Mahdavi and Kundu, [19]), and exponential (Ex) distributions.”
A new alpha power transformed family of distributions: properties and applications to the Weibull model (2018, methodology): “Using the cdf of exponential distribution in (1.1) Mahdavi and Kundu [17] introduced a two-parameter model named as alpha-power exponential (APE) distribution.”
A New Modified Kies Family: Properties, Estimation Under Complete and Type-II Censored Samples, and Engineering Applications (2020, methodology): “Gupta, R.D.; Kundu, D. Generalized exponential distribution: Different method of estimations.”
Recent Developments in Distribution Theory: A Brief Survey and Some New Generalized Classes of distributions (2019, methodology): “Mahdavi and Kundu (2017) proposed a new method for introducing statistical distributions via the cdf given by ( ) ( ); ; , 0, 1, 1 1 .”
Alpha-Power Transformed Lindley Distribution: Properties and Associated Inference with Application to Earthquake Data (2019, methodology): “The aim of this note is to derive a new distribution from the Lindley distribution by α− power transformation as suggested by Mahdavi and Kundu (2016), called Alpha Power Transformed Lindley (αPTL) distribution.”