Estimation of Parameters of Lomax Exponential Distribution
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Abstract
The concept of p-th upper record value was introduced by Dziubdziela and Kopocinski [5]. Estimation of the location and scale parameters of the Lomax exponential (LE) distribution are obtained based on generalized record values. The best linear unbiased methods of estimation are used for this purposes.
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References
- M. Ahsanullah, Record Statistics, Nava Science Publisher, Inc. Commack, New York, (1995).
- A. Asgharzadeh, M. Abdi, Confidence Intervals for the Parameters of the Burr type XII Distribution Based on Records, Int. J. Stat. Econ. 8 (2012), 96-114.
- K.N. Chandler, The Distribution and Frequency of Record Values, J. R. Stat. Soc. Ser. B: Stat. Methodol. 14 (1952), 220–228. https://doi.org/10.1111/j.2517-6161.1952.tb00115.x.
- G.M. Cordeiro, E.M.M. Ortega, B.V. Popović, R.R. Pescim, The Lomax Generator of Distributions: Properties, Minification Process and Regression Model, Appl. Math. Comput. 247 (2014), 465–486. https://doi.org/10.1016/j.amc.2014.09.004.
- W. Dziubdziela, B. Kopociński, Limiting Properties of the k-th Record Values, Appl. Math. 15 (1976), 187-190. http://eudml.org/doc/263206.
- Z. Grudzień, Characterization of Distribution of Time Limits in Record Statistics as Well as Distributions and Moments of Linear Record Statistics from the Samples of Random Numbers, Praca Doktorska, UMCS, Lublin, (1982).
- M.J.S. Khan, A. Sharma, M.I. Khan, S. Kumar, Exact Moments of Record Values from Burr Distribution with Applications, Int. J. Comput. Theor. Stat. 2 (2015), 107-115.
- M.A. Khan, R.U. Khan, k−th Upper Record Values from Modified Weibull Distribution and Characterization, Int. J. Comput. Theor. Stat. 3 (2016), 75-80.
- R. Khan, M.A. Khan, M.A.R. Khan, Relations for Moments of Generalized Record Values from Additive Weibull Distribution and Associated Inference, Stat. Optim. Inf. Comput. 5 (2017), 127–136. https://doi.org/10.19139/soic.v5i2.237.
- D. Kumar, S. Dey, Upper Record Values from Extended Exponential Distribution, J. Mod. Appl. Stat. Methods 17 (2019), eP2687. https://doi.org/10.22237/jmasm/1557149263.
- S. Minimol, P.Y. Thomas, On Some Properties of Makeham Distribution Using Generalized Record Values and Its Characterization, Braz. J. Probab. Stat. 27 (2013), 487-501. https://doi.org/10.1214/11-BJPS178.
- S. Minimol, P.Y. Thomas, On Characterization of Gompertz Distribution by Properties of Generalized Record Values, J. Stat. Theory Appl. 13 (2014), 38-45. https://doi.org/10.2991/jsta.2014.13.1.4.
- B. Singh, R. U. Khan, S. Zarrin, Moments of Generalized Upper Record Values from Weibull- Power Function Distribution and Characterization, J. Stat. Appl. Probab. 9 (2020), 309–318. https://doi.org/10.18576/jsap/090211.