Relations for Moments of Progressively Type-II Censored Order Statistics from Log-Logistic Distribution with Applications to Inference

References

• Ali , M. M. , Khan , A. H. ( 1987 ). On order statistics from the log-logistic distribution . J. Statist. Plann. Infer. 17 : 103 – 108 .
   Web of Science ®Google Scholar
• Arnold , B. C. , Balakrishnan , N. ( 1989 ). Relations, Bounds and Approximations for Order Statistics . Lecture Notes in Statistics 53. New York : Springer-Verlag .
   Google Scholar
• Arnold , B. C. , Balakrishnan , N. , Nagaraja , H. N. ( 1992 ). A First Course in Order Statistics . New York : John Wiley & Sons .
   Google Scholar
• Balakrishnan , N. ( 2007 ). Progressive censoring methodology: an appraisal (with discussions) . Test 16 : 211 – 296 .
   Web of Science ®Google Scholar
• Balakrishnan , N. , Aggarwala , R. ( 2000 ). Progressive Censoring: Theory, Methods, and Applications . Boston : Birkhäuser .
   Google Scholar
• Balakrishnan , N. , Cohen , A. C. ( 1991 ). Order Statistics and Inference: Estimation Methods . San Diego , CA : Academic Press .
   Google Scholar
• Balakrishnan , N. , Malik , H. J. ( 1987 ). Moments of order statistics from truncated log-logistic distribution . J. Statist. Plann. Infer. 17 : 251 – 267 .
   Web of Science ®Google Scholar
• Balakrishnan , N. , Malik , H. J. , Puthenpura , S. ( 1987 ). Best linear unbiased estimation of location and scale parameters of the log-logistic distribution . Commun. Statist. Theor. Meth. 16 : 3477 – 3495 .
   Web of Science ®Google Scholar
• Balakrishnan , N. , Sandhu , R. A. ( 1995 ). A simple simulational algorithm for generating progressive Type-II censored samples . Amer. Statistician 49 : 229 – 230 .
   Web of Science ®Google Scholar
• Balakrishnan , N. , Sultan , K. S. ( 1998 ). Recurrence relations and identities for moments of order statistics . In: Balakrishnan , N. , Rao , C. R. Handbook of Statistics, Vol. 16: Order Statistics: Theory and Methods . Amsterdam : North-Holland , pp. 149 – 228 .
   Google Scholar
• Beyer , W. H. (1968). Handbook of Tables for Probability and Statistics. , 2nd ed. Cleveland , OH : The Chemical Rubber Company.
   Google Scholar
• Doganaksoy , N. , Balakrishnan , N. ( 1997 ). A useful property of best linear unbiased predictors with applications to life-testing . Amer. Statistician 51 : 22 – 28 .
   Web of Science ®Google Scholar
• Fischer , T. , Balakrishnan , N. , Cramer , E. ( 2008 ). Mixture representation for order statistics from INID progressive censoring and its applications . J. Multivariate Anal. 99 : 1999 – 2015 .
   Web of Science ®Google Scholar
• Lawless , J. F. ( 1982 ). Statistical Models and Methods for Lifetime Data . New York : John Wiley & Sons .
   Google Scholar
• Lin , C. T. ( 2000 ). A note on the recurrence relations between moments of order statistics from right truncated log-logistic distribution . Statist. Pap. 41 : 99 – 107 .
   Web of Science ®Google Scholar
• Ragab , A. , Green , J. ( 1984 ). On order statistics from the log-logistic distribution and their properties . Commun. Statist. Theor. Meth. 13 : 2713 – 2724 .
   Web of Science ®Google Scholar
• Shah , B. K. , Dave , P. H. ( 1963 ). A note on loglogistic distribution . J. Mathemat. Sci. Univ. Baroda 12 : 21 – 22 .
   Google Scholar
• Tadikamalla , P. R. , Johnson , N. L. ( 1982 ). Systems of frequency curves generated by the transformation of logistic variables . Biometrika 69 : 461 – 465 .
   Web of Science ®Google Scholar
• Thomas , D. R. , Wilson , W. M. ( 1972 ). Linear order statistic estimation for the two-parameter Weibull and extreme value distributions from Type-II progressively censored samples . Technometrics 14 : 679 – 691 .
   Web of Science ®Google Scholar