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On Quick Choice of Power Transformation

Author

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  • David Hinkley

Abstract

In an earlier article (Hinkley, 1975) the author has discussed an order‐statistic method for the fitting of power transformations of data to obtain approximate symmetry of transformed data distributions. The method is easy to apply to homogeneous samples and does not require normality. A similar quick method of choosing a symmetrizing transformation is outlined here, and a simple example is given.

Suggested Citation

  • David Hinkley, 1977. "On Quick Choice of Power Transformation," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 26(1), pages 67-69, March.
    • Handle: RePEc:bla:jorssc:v:26:y:1977:i:1:p:67-69
    DOI: 10.2307/2346869
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    Cited by:

    1. Guerrero, Victor M. & Solis-Lemus, Claudia, 2020. "A generalized measure of dispersion," Statistics & Probability Letters, Elsevier, vol. 164(C).
    2. Ausaina Niyomdecha & Patchanok Srisuradetchai, 2023. "Complementary Gamma Zero-Truncated Poisson Distribution and Its Application," Mathematics, MDPI, vol. 11(11), pages 1-13, June.
    3. Wanbo Lu & Daimin Shi, 2012. "A new compounding life distribution: the Weibull--Poisson distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 39(1), pages 21-38, March.
    4. El-Sayed A. El-Sherpieny & Mamhoud M. Elsehetry, 2019. "Type II Kumaraswamy Half Logistic Family of Distributions with Applications to Exponential Model," Annals of Data Science, Springer, vol. 6(1), pages 1-20, March.
    5. Ayush Tripathi & Umesh Singh & Sanjay Kumar Singh, 2021. "Inferences for the DUS-Exponential Distribution Based on Upper Record Values," Annals of Data Science, Springer, vol. 8(2), pages 387-403, June.
    6. Chakraburty Subrata & Alizadeh Morad & Handique Laba & Altun Emrah & Hamedani G. G., 2021. "A new extension of Odd Half-Cauchy Family of Distributions: properties and applications with regression modeling," Statistics in Transition New Series, Statistics Poland, vol. 22(4), pages 77-100, December.
    7. Ramadan A. ZeinEldin & Christophe Chesneau & Farrukh Jamal & Mohammed Elgarhy, 2019. "Statistical Properties and Different Methods of Estimation for Type I Half Logistic Inverted Kumaraswamy Distribution," Mathematics, MDPI, vol. 7(10), pages 1-24, October.
    8. Harsh Tripathi & Varun Agiwal, 2024. "A new version of univariate Rayleigh distribution: properties, estimation and it’s application," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 15(11), pages 5367-5377, November.
    9. Ammara Tanveer & Muhammad Azam & Muhammad Aslam & Muhammad Shujaat Navaz, 2020. "Attribute np control charts using resampling systems for monitoring non-conforming items under exponentiated half-logistic distribution," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 30(2), pages 115-143.
    10. Abu Awwad Raed R. & Bdair Omar M. & Abufoudeh Ghassan K., 2021. "Bayesian estimation and prediction based on Rayleigh record data with applications," Statistics in Transition New Series, Statistics Poland, vol. 22(3), pages 59-79, September.
    11. Tan, W. D. & Gan, F. F. & Chang, T. C., 2004. "Using normal quantile plot to select an appropriate transformation to achieve normality," Computational Statistics & Data Analysis, Elsevier, vol. 45(3), pages 609-619, April.
    12. M. Elgarhy & I. Elbatal & Muhammad Ahsan ul Haq & Amal S. Hassan, 2018. "Transmuted Kumaraswamy Quasi Lindley Distribution with Applications," Annals of Data Science, Springer, vol. 5(4), pages 565-581, December.
    13. Adolfo Quiroz & Miguel Nakamura & Francisco Pérez, 1996. "Estimation of a multivariate Box-Cox transformation to elliptical symmetry via the empirical characteristic function," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 48(4), pages 687-709, December.
    14. Yogendra P. Chaubey & Murari Singh & Debaraj Sen, 2017. "Symmetrizing and Variance Stabilizing Transformations of Sample Coefficient of Variation from Inverse Gaussian Distribution," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 79(2), pages 217-246, November.
    15. Sandeep Kumar Maurya & Saralees Nadarajah, 2021. "Poisson Generated Family of Distributions: A Review," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 83(2), pages 484-540, November.
    16. Mustapha Muhammad & Rashad A. R. Bantan & Lixia Liu & Christophe Chesneau & Muhammad H. Tahir & Farrukh Jamal & Mohammed Elgarhy, 2021. "A New Extended Cosine—G Distributions for Lifetime Studies," Mathematics, MDPI, vol. 9(21), pages 1-29, October.
    17. Majid Hashempour & Morad Alizadeh & Haitham M. Yousof, 2024. "A New Lindley Extension: Estimation, Risk Assessment and Analysis Under Bimodal Right Skewed Precipitation Data," Annals of Data Science, Springer, vol. 11(6), pages 1919-1958, December.
    18. Shama, M.S. & Dey, Sanku & Altun, Emrah & Afify, Ahmed Z., 2022. "The Gamma–Gompertz distribution: Theory and applications," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 193(C), pages 689-712.
    19. Raed R. Abu Awwad & Omar M. Bdair & Ghassan K. Abufoudeh, 2021. "Bayesian estimation and prediction based on Rayleigh record data with applications," Statistics in Transition New Series, Polish Statistical Association, vol. 22(3), pages 59-79, September.
    20. Subrata Chakraburty & Morad Alizadeh & Laba Handique & Emrah Altun & G. G. Hamedani, 2021. "A new extension of Odd Half-Cauchy Family of Distributions: properties and applications with regression modeling," Statistics in Transition New Series, Polish Statistical Association, vol. 22(4), pages 77-100, December.

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