On Concomitants of Upper Record Statistics and Survival Analysis for a Morgenstern Type Bivariate Transmuted Exponentiated Gumbel Distribution

Deepshikha Deka¹ , Bhanita Das²

Section:Research Paper, Product Type: Isroset-Journal
Vol.6 , Issue.2 , pp.239-251, Apr-2019

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i2.239251

Online published on Apr 30, 2019

Copyright © Deepshikha Deka, Bhanita Das . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

View this paper at   Google Scholar | DPI Digital Library

XML View     PDF Download

How to Cite this Paper

234 Views    226 Downloads    98 Downloads

Abstract :
This paper presents upper record statistics and their concomitants for a Morgenstern Type Bivariate Transmuted Exponentiated Gumbel Distribution. Survival Functions of the Concomitants of Upper Record Statistics are derived for the distribution. The numerical values of the survival functions are displayed for some selected values of the parameters.

Key-Words / Index Term :
Record values, Concomitants, Morgenstern Family, Survival function, Numerical Study

References :
[1] Ahsanullah, M., (1982). Characterization of the Exponential Distribution by Some Properties of the Record Values. Statist. Hefte, 23, 326-332.
[2] Ahsanullah, M. & Kirmani, S.N.U.A., (1991). Characterization of the Exponential Distribution through a Lower Record. Comm. Statist. Theory Methods, 1293-1299.
[3] Ahsanullah, M., (1995). Record Statistics. Nova Science, USA.
[4] Ahsanullah, M. & Nevzorov, V.B., (2000). Some Distributions of Induced Record Values. Biometrical Journal, 42, 1069-1081.
[5] Amini, M. & Ahmadi, J., (2005). On Moments of Concomitants of Classic Record Values and Nonparametric Upper Bounds for the Mean Under the Farlie-Gumbel-Morgenstern Model. Journal of Statistical Research of Iran, 123-125.
[6] Arnold, B.C., Balakrishnan, N. & Nagarajah, H.N., (1998). Records. Wiley, New York.
[7] Candler, K.N., (1952). The Distribution and Frequency of Record Values. Journal of Royal Statistical Society, Series B14, 220-228.
[8] Chacko, M., (2007). On Concomitants of Order Statistics. Ph.D. Thesis, University of Kerala, Trivandrum, India.
[9] Chacko, M. & Thomas, P.Y. (2008). Estimation of Parameters of Binomial Normal Distribution Using Concomitants of Records Values. Statistical Propers, 49(2), 263-275.
[10] David, H.A. & Nagaraja, H.N. (2003). Order Statistics, Third Ed; John Wiley & Sons.
[11] Deka, D., Das, B. & Baruah, B.H., (2017). Transmuted Exponentiated Gumbel Distribution (TEGD) and its Application to Water Quality Data. Pak.J.Stat.Oper.Res. 17(3), 115-126.
[12] Houchens, R.L., (1984). Record value theory and inference. Ph.D. Dissertation, University of California, Riverside, California.
[13] Kirmani, S.N.U.A. & Beg, M.I., (1984). On Characterization of Distribution by Expected Records. Sankhya, A 46(3), 463-465.
[14] Morgenstern, D., (1956). Einfeche beispiele Zweidimensionder Venteihengen. Mitteingsblatt fu ̈r Mathematishe Statistik, 8, 234-238.
[15] Resnick, S.I., (1987). Extreme Values, Regular Variation and Point Processes. Springer Verlag.
[16] Thomas, P.Y. & Veena, T.G., (2011). On an Application of Concomitants of Order Statistics in Characterizing a Family of Bivariate Distributions. Comm. Stat. Theory Methods, 40, 1445-1452.
[17] Thomas, P.Y. & Veena, T.G., (2014). Characterization of Bivariate Distributions Using Concomitants of Record Values. Metrika, 77, 947-963.
[18] Veena, T.G. & Thomas, P.Y., (2008). Characterization of Bivariate Distributions by Properties of Concomitants of Order Statistics. Stat. Prob. Lett. 78, 3350-3354.