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Characterisation of some generalised continuous distributions by doubly truncated moments

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The characterisation of probability distribution plays an important role in statistical studies. There are various methods of characterisation available in the literature. The characterisation using truncated moments limits the observations; hence, researchers may save time and cost. In this paper, the characterisation of three general forms of continuous distributions based on doubly truncated moments has been studied. The results are given simply and explicitly. Further, the results have been applied to some well-known continuous distributions.
Rocznik
Strony
1--19
Opis fizyczny
Bibliogr. 39 poz., rys.
Twórcy
autor
  • Department of Statistics and Operations Research, Aligarh Muslim University, Aligarh, India
  • y, Aligarh, India 2Department of Management Sciences, Rider University, Lawrenceville, USA
  • Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah, KSA
Bibliografia
  • [1] Ahsanullah, M., Ghitany, M. E., and Al-Mutairi, D. K. Characterisation of Lindley distribution by truncated moments. Communications in Statistics – Theory and Methods 46, 12 (2017), 6222–6227.
  • [2] Ahsanullah, M., and Hamedani, G. G. Certain characterisation of power function and beta distributions based on order statistics. Journal of Statistical Theory and Applications 6 (2007), 220–226.
  • [3] Ahsanullah, M., Hamedani, G. G., and Maadoolia, M. Characterisation of distributions via conditional expectation of generalised order statistics. International Journal of Statistics and Probability 4, 3 (2015), 121–126.
  • [4] Ahsanullah, M., and Shakil, M. Some characterisations of raised cosine distribution. International Journal of Advanced Statistics and Probability 6, 2 (2018), 42–49.
  • [5] Ahsanullah, M., Shakil, M., and Kibria, B. M. G. Characterization of continuous distributions by truncated moment. Journal of Modern Applied Statistical Methods 15, 1 (2016), 316–331.
  • [6] Ali, M. A. Characterization of Weibull and exponential distributions. Journal of Statistical Studies 17 (1997), 103–106.
  • [7] Ali, M. A., and Khan, A. H. Characterisation of some types of distributions. International Journal of Information and Management Sciences 9, 2 (1998), 1–9.
  • [8] Athar, H., and Abdel-Aty, Y. Characterisation of general class of distributions by truncated moment. Thailand Statistician 18, 2 (2020), 95–107.
  • [9] Athar, H., Yaqub, M., and Islam, H. M. On characterisation of distributions through linear regression of record values and order statistics. The Aligarh Journal of Statistics 23 (2003), 97–105.
  • [10] Balasubramanian, K., and Beg, M. I. Distributions determined by conditioning on a pair of order statistics. Metrika 39, 1 (1992), 107–112.
  • [11] Balasubramanian, K., and Dey, A. Distribution characterized through conditional expectations. Metrika 45, 1 (1997), 189–196.
  • [12] Franco, M., and Ruiz, J. M. On characterization of continuous distributions with adjacent order statistics. Statistics 26, 4 (1995), 375–385.
  • [13] Franco, M., and Ruiz, J. M. On characterization of distributions by expected values of order statistics and record values with gap. Metrika 45, 1 (1997), 107–119.
  • [14] Galambos, J., and Kotz, S. Characterizations of probability distributions. A unified approach with an emphasis on exponential and related models. Lecture Notes in Mathematics, Vol. 675, Springer, Berlin, Germany, 1978.
  • [15] Glänzel, W. A characterization theorem based on truncated moments and its application to some distribution families. In: Mathematical Statistics and Probability Theory. Proceedings of the 6th Pannonian Symposium on Mathematical Statistics, Bad Tatzmannsdorf, Austria, September 14–20, 1986, P. Bauer, F. Konecny and W. Wertz, Eds., Vol. B, Springer, Dordrecht, 1987, pp. 75–84.
  • [16] Glänzel, W. Some consequences of a characterization theorem based on truncated moments. Statistics 21, 4 (1990), 613–618.
  • [17] Glänzel, W., Telcs, A., and Schubert, A. Characterization by truncated moments and its application to Pearson-type distribution. Zeitschrift Wahrscheinlichkeits Theorie und Verwandte Gebiete 66, 2 (1984), 173–183.
  • [18] Gupta, P. L., and Gupta, R. C. On the moments of residual life in reliability and some characterization results. Communications in Statistics – Theory and Methods 12, 4 (1983), 449–461.
  • [19] Gupta, R. C., and Ahsanullah, M. Some characterization results based on the conditional expectation of truncated order statistics and record values. Journal of Statistical Theory and Applications 5 (2006), 391–402.
  • [20] Hamedani, G. G. Characterizations and infinite divisibility of certain 2016–2017 univariate continuous distribuions II. International Mathematical Forum 12, 12 (2017), 565–609.
  • [21] Huang, W.-J., and Su, N.-C. Characterizations of distributions based on moments of residual life. Communications in Statistics – Theory and Methods 41, 15 (2012), 2750–2761.
  • [22] Javed, M., Nawaz, T., and Irfan, M. The Marshall–Olkin Kappa distribution: Properties and applications. Journal of King Saud University – Science 31, 4 (2019), 684–691.
  • [23] Jin, H.-N., and Lee, M.-Y. On characterizations of the continuous distributions via identically distributed functions of upper record values. Thailand Statistician 18, 3 (2020), 243–250.
  • [24] Khan, A. H., and Abouammoh, A. M. Characterizations of distributions by conditional expectation of order statistics. Journal of Applied Statistical Science 9 (2000), 159–167.
  • [25] Khan, A. H., and Abu-Salih, M. S. Characterizations of probability distributions by conditional expectation of order statistics. Metron 47 (1989), 157–168.
  • [26] Khan, A. H., and Ali, M. M. Characterizations of probability distributions through higher order gap. Communications in Statistics – Theory and Methods 16, 5 (1987), 1281–1287.
  • [27] Khan, A. H., and Alzaid, A. A. Characterizations of distributions through linear regression of non-adjacent generalized order statistics. Journal of Applied Statistical Science 13, 2 (2004), 123–136.
  • [28] Kilany, N. M. Characterizations of Lindley distribution based on truncated moments of order statistics. Journal of Statistics Applications & Probability 6, 2 (2017), 355–360.
  • [29] Kotz, S., and Shanbhag, D. N. Some new approaches to probability distributions. Advances in Applied Probability 12, 4 (1980), 903–921.
  • [30] Laurent, A. G. On characterization of some distributions by truncation properties. Journal of the American Statistical Association 69, 347 (1974), 823–827.
  • [31] Lopez Bláquez, F., and Moreno Rebello, J. L. A characterization of distributions based on linear regression of order statistics and record values. Sankhya: The Indian Journal of Statistics, Series A, 59 ¯ , 3 (1997), 311–323.
  • [32] Metiri, F., Zeghdoudi, H., and Ezzebsa, A. On the characterisation of X–Lindley distribution by truncated moments. Properties and application. Operations Research and Decisions 32, 1 (2022), 97–109.
  • [33] Muhammad, M., and Liu, L. Characterization of Marshall–Olkin–G family of distributions by truncated moments. Journal of Mathematics and Computer Science 19, 3 (2019), 192–202.
  • [34] Muhammad, M., and Yahaya, M. A. The half logistic Poisson distribution. Asian Journal of Mathematics and Applications 5 (2017), 0389.
  • [35] Nagaraja, H. N. Some characterizations of continuous distributions based on regressions of adjacent order statistics and record values. Sankhya: The Indian Journal of Statistics, Series A 50 ¯ , 1 (1988), 70–73.
  • [36] Noor, Z., and Athar, H. Characterization of probability distributions by conditional expectation of function of record statistics. Journal of the Egyptian Mathematical Society 22, 2 (2014), 275–279.
  • [37] Shakil, M., and Ahsanullah, M. Some characterizations of the distribution of the condition number of a complex Gaussian matrix. Special Matrices 8, 1 (2020), 22–35.
  • [38] Su, J.-C., and Huang, W.-J. Characterizations based on conditional expectations. Statistical Papers 41, 4 (2000), 423–435.
  • [39] Wesolowski, J., and Ahsanullah, M. On characterizing distributions via linearity of regression for order statistics. Australian Journal of Statistics 39, 1 (1997), 69–78.
Uwagi
Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-f2ae80ad-248e-4425-a008-0dcbd342d287
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