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The alchemy of probability distributions: beyond Gram-Charlier expansions, and a skew-kurtotic-normal distribution from a rank transmutation map

Citations

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Cited by:

  1. Hadeel S Klakattawi, 2022. "Survival analysis of cancer patients using a new extended Weibull distribution," PLOS ONE, Public Library of Science, vol. 17(2), pages 1-20, February.
  2. Yuri A. Iriarte & Mário de Castro & Héctor W. Gómez, 2020. "The Lambert- F Distributions Class: An Alternative Family for Positive Data Analysis," Mathematics, MDPI, vol. 8(9), pages 1-17, August.
  3. Rashad A. R. Bantan & Christophe Chesneau & Farrukh Jamal & Mohammed Elgarhy & Muhammad H. Tahir & Aqib Ali & Muhammad Zubair & Sania Anam, 2020. "Some New Facts about the Unit-Rayleigh Distribution with Applications," Mathematics, MDPI, vol. 8(11), pages 1-23, November.
  4. Edoh Katchekpele & Issa Cherif Geraldo & Tchilabalo Abozou Kpanzou, 2025. "Comparative Analysis and Practical Applications of Cubic Transmutations for the Pareto Distribution," International Journal of Mathematics and Mathematical Sciences, John Wiley & Sons, vol. 2025(1).
  5. Sadaf Khan & Muhammad H. Tahir & Farrukh Jamal, 2023. "Analysis of COVID-19 and cancer data using new half-logistic generated family of distributions," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 33(4), pages 71-95.
  6. Boikanyo Makubate & Fastel Chipepa & Broderick Oluyede & Peter O. Peter, 2021. "The Marshall-Olkin Half Logistic-G Family of Distributions With Applications," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 10(2), pages 120-120, March.
  7. Rashad A. R. Bantan & Farrukh Jamal & Christophe Chesneau & Mohammed Elgarhy, 2020. "On a New Result on the Ratio Exponentiated General Family of Distributions with Applications," Mathematics, MDPI, vol. 8(4), pages 1-20, April.
  8. Rashad A. R. Bantan & Christophe Chesneau & Farrukh Jamal & Mohammed Elgarhy, 2020. "On the Analysis of New COVID-19 Cases in Pakistan Using an Exponentiated Version of the M Family of Distributions," Mathematics, MDPI, vol. 8(6), pages 1-20, June.
  9. Rouven Beiner & Bernd Süssmuth, 2026. "Monotonic Polynomial GARCH Models for Conditional Higher Moments," CESifo Working Paper Series 12734, CESifo.
  10. Sanaa Al-Marzouki & Farrukh Jamal & Christophe Chesneau & Mohammed Elgarhy, 2019. "Type II Topp Leone Power Lomax Distribution with Applications," Mathematics, MDPI, vol. 8(1), pages 1-26, December.
  11. Arnold, Barry C. & Sarabia, José María, 2022. "Conditional specification of statistical models: Classical models, new developments and challenges," Journal of Multivariate Analysis, Elsevier, vol. 188(C).
  12. Majid Asadi & Somayeh Zarezadeh, 2020. "A unified approach to constructing correlation coefficients between random variables," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 83(6), pages 657-676, August.
  13. Muhammad Shuaib Khan & Robert King & Irene Lena Hudson, 2016. "Transmuted Kumaraswamy Distribution," Statistics in Transition New Series, Polish Statistical Association, vol. 17(2), pages 183-210, June.
  14. Robert King & Irene Lena Hudson & Muhammad Shuaib Khan, 2016. "Transmuted Kumaraswamy Distribution," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 17(2), pages 183-210, June.
  15. M. Elgarhy & Muhammad Ahsan ul Haq & Qurat Ain, 2018. "Exponentiated Generalized Kumaraswamy Distribution with Applications," Annals of Data Science, Springer, vol. 5(2), pages 273-292, June.
  16. Holly Brannelly & Andrea Macrina & Gareth W. Peters, 2019. "Quantile Diffusions for Risk Analysis," Papers 1912.10866, arXiv.org, revised Sep 2021.
  17. Majdah M. Badr & Ibrahim Elbatal & Farrukh Jamal & Christophe Chesneau & Mohammed Elgarhy, 2020. "The Transmuted Odd Fréchet-G Family of Distributions: Theory and Applications," Mathematics, MDPI, vol. 8(6), pages 1-20, June.
  18. Jones, M.C., 2018. "Families of complementary distributions," Statistics & Probability Letters, Elsevier, vol. 141(C), pages 74-81.
  19. Hossein Nadeb & Hamzeh Torabi & Ali Dolati, 2018. "Stochastic comparisons of the largest claim amounts from two sets of interdependent heterogeneous portfolios," Papers 1812.08343, arXiv.org.
  20. Patrick Osatohanmwen & Eferhonore Efe-Eyefia & Francis O. Oyegue & Joseph E. Osemwenkhae & Sunday M. Ogbonmwan & Benson A. Afere, 2022. "The Exponentiated Gumbel–Weibull {Logistic} Distribution with Application to Nigeria’s COVID-19 Infections Data," Annals of Data Science, Springer, vol. 9(5), pages 909-943, October.
  21. Phillip Oluwatobi Awodutire & Oluwafemi Samson Balogun & Akintayo Kehinde Olapade & Ethelbert Chinaka Nduka, 2021. "The modified beta transmuted family of distributions with applications using the exponential distribution," PLOS ONE, Public Library of Science, vol. 16(11), pages 1-25, November.
  22. Abdulaziz S. Alghamdi & M. M. Abd El-Raouf, 2023. "Exploring the Dynamics of COVID-19 with a Novel Family of Models," Mathematics, MDPI, vol. 11(7), pages 1-29, March.
  23. Shamshad Ur Rasool & M. A. Lone & S. P. Ahmad, 2025. "An Innovative Technique for Generating Probability Distributions: A Study on Lomax Distribution with Applications in Medical and Engineering Fields," Annals of Data Science, Springer, vol. 12(2), pages 439-455, April.
  24. Muhammad H. Tahir & Muhammad Adnan Hussain & Gauss M. Cordeiro & M. El-Morshedy & M. S. Eliwa, 2020. "A New Kumaraswamy Generalized Family of Distributions with Properties, Applications, and Bivariate Extension," Mathematics, MDPI, vol. 8(11), pages 1-28, November.
  25. Ahmad Alzaghal & Duha Hamed, 2019. "New Families of Generalized Lomax Distributions: Properties and Applications," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 8(6), pages 1-51, November.
  26. Devendra Kumar & Manoj Kumar, 2019. "A New Generalization of the Extended Exponential Distribution with an Application," Annals of Data Science, Springer, vol. 6(3), pages 441-462, September.
  27. Ali A. Al-Shomrani, 2025. "Bayesian Estimation Under Various Loss Functions With Application to the Odd Kappa–Exponential Distribution," Journal of Probability and Statistics, John Wiley & Sons, vol. 2025(1).
  28. Gareth W. Peters, 2018. "General Quantile Time Series Regressions for Applications in Population Demographics," Risks, MDPI, vol. 6(3), pages 1-47, September.
  29. Iliev, A. & Kyurkchiev, N. & Markov, S., 2017. "On the approximation of the step function by some sigmoid functions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 133(C), pages 223-234.
  30. Tahani Ahmad Aloafi, 2022. "Prediction from Transmuted Rayleigh Distribution in the Presence of Outliers," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
  31. Abdisalam Hassan Muse & Samuel M. Mwalili & Oscar Ngesa, 2021. "On the Log-Logistic Distribution and Its Generalizations: A Survey," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 10(3), pages 1-93, June.
  32. Alya Al Mutairi & Muhammad Z. Arshad, 2022. "A New Odd Fréchet Lehmann Type II–G Family of Distributions: A Power Function Distribution With Theory and Applications," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 11(2), pages 1-29, March.
  33. Sher B. Chhetri & Alfred A. Akinsete & Gokarna Aryal & Hongwei Long, 2017. "The Kumaraswamy transmuted Pareto distribution," Journal of Statistical Distributions and Applications, Springer, vol. 4(1), pages 1-24, December.
  34. Muhammad H Tahir & Gauss M. Cordeiro, 2016. "Compounding of distributions: a survey and new generalized classes," Journal of Statistical Distributions and Applications, Springer, vol. 3(1), pages 1-35, December.
  35. Holly Brannelly & Andrea Macrina & Gareth W. Peters, 2021. "Stochastic measure distortions induced by quantile processes for risk quantification and valuation," Papers 2201.02045, arXiv.org.
  36. Gayan Warahena-Liyanage & Broderick Oluyede & Thatayaone Moakofi & Whatmore Sengweni, 2023. "The New Exponentiated Half Logistic-Harris-G Family of Distributions with Actuarial Measures and Applications," Stats, MDPI, vol. 6(3), pages 1-29, July.
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