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Volumn 54, Issue 3, 2001, Pages 301-315

Bounds for means and variances of progressive type II censored order statistics

Author keywords

Bounds for moments; Generalized order statistics; Order statistics; Progressive type II censoring

Indexed keywords


EID: 0000519612     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-7152(01)00104-3     Document Type: Article
Times cited : (70)

References (31)
  • 1
    • 0001344350 scopus 로고    scopus 로고
    • Recurrence relations for single and product moments of progressive type-II right censored order statistics from exponential and truncated exponential distributions
    • Aggarwala R., Balakrishnan N. Recurrence relations for single and product moments of progressive type-II right censored order statistics from exponential and truncated exponential distributions. Ann. Inst. Statist. Math. 48:1996;757-771.
    • (1996) Ann. Inst. Statist. Math. , vol.48 , pp. 757-771
    • Aggarwala, R.1    Balakrishnan, N.2
  • 2
    • 0032116896 scopus 로고    scopus 로고
    • Some properties of progressive censored order statistics from arbitrary and uniform distributions with applications to inference and simulation
    • Aggarwala R., Balakrishnan N. Some properties of progressive censored order statistics from arbitrary and uniform distributions with applications to inference and simulation. J. Statist. Plann. Inference. 70:1998;35-49.
    • (1998) J. Statist. Plann. Inference , vol.70 , pp. 35-49
    • Aggarwala, R.1    Balakrishnan, N.2
  • 3
    • 0003222276 scopus 로고
    • Relations, Bounds and Approximations for Order Statistics
    • Berlin: Springer
    • Arnold B.C., Balakrishnan N. Relations, Bounds and Approximations for Order Statistics. Lecture Notes in Statistics. Vol. 53:1989;Springer, Berlin.
    • (1989) Lecture Notes in Statistics , vol.53
    • Arnold, B.C.1    Balakrishnan, N.2
  • 5
    • 38249020192 scopus 로고
    • Improving the Hartley-David-Gumbel bound for the mean of extreme order statistics.
    • Balakrishnan N. Improving the Hartley-David-Gumbel bound for the mean of extreme order statistics. Statist. Probab. Lett. 9:1990;291-294.
    • (1990) Statist. Probab. Lett. , vol.9 , pp. 291-294
    • Balakrishnan, N.1
  • 6
    • 38249000918 scopus 로고
    • A simple application of binomial-negative binomial relationship in the derivation of sharp bounds for moments of order statistics based on greatest convex minorants
    • Balakrishnan N. A simple application of binomial-negative binomial relationship in the derivation of sharp bounds for moments of order statistics based on greatest convex minorants. Statist. Probab. Lett. 18:1993;301-305.
    • (1993) Statist. Probab. Lett. , vol.18 , pp. 301-305
    • Balakrishnan, N.1
  • 8
    • 0043010494 scopus 로고    scopus 로고
    • Progressive type II censored order statistics from exponential distributions
    • to appear
    • Balakrishnan, N., Cramer, E., Kamps, U., Schenk, N., 2001. Progressive type II censored order statistics from exponential distributions. Statistics, to appear.
    • (2001) Statistics
    • Balakrishnan, N.1    Cramer, E.2    Kamps, U.3    Schenk, N.4
  • 9
    • 0001878759 scopus 로고    scopus 로고
    • Best linear unbiased and maximum likelihood estimation for exponential distributions under general progressive type-II censored samples
    • Balakrishnan N., Sandhu R.A. Best linear unbiased and maximum likelihood estimation for exponential distributions under general progressive type-II censored samples. Sankhy. ā Ser. B 58:1996;1-9.
    • (1996) Sankhy ā Ser. B , vol.58 , pp. 1-9
    • Balakrishnan, N.1    Sandhu, R.A.2
  • 11
    • 0001820871 scopus 로고
    • Dual Poincaré-type inequalities via the Cramér-Rao and the Cauchy-Schwarz inequalities and related characterizations.
    • Y. Dodge. Amsterdam: Elsevier
    • Cacoullos T. Dual Poincaré-type inequalities via the Cramér-Rao and the Cauchy-Schwarz inequalities and related characterizations. Dodge Y. Statistical Data Analysis and Inference. 1989;239-250 Elsevier, Amsterdam.
    • (1989) Statistical Data Analysis and Inference. , pp. 239-250
    • Cacoullos, T.1
  • 12
    • 0000376895 scopus 로고
    • On upper bounds for the variance of functions of random variables
    • Cacoullos T., Papathanasiou V. On upper bounds for the variance of functions of random variables. Statist. Probab. Lett. 3:1985;175-184.
    • (1985) Statist. Probab. Lett. , vol.3 , pp. 175-184
    • Cacoullos, T.1    Papathanasiou, V.2
  • 13
    • 38249022748 scopus 로고
    • Characterizations of distributions by variance bounds
    • Cacoullos T., Papathanasiou V. Characterizations of distributions by variance bounds. Statist. Probab. Lett. 7:1989;351-356.
    • (1989) Statist. Probab. Lett. , vol.7 , pp. 351-356
    • Cacoullos, T.1    Papathanasiou, V.2
  • 14
    • 0031572807 scopus 로고    scopus 로고
    • Characterizations of distributions by generalizations of variance bounds and simple proofs of the CLT
    • Cacoullos T., Papathanasiou V. Characterizations of distributions by generalizations of variance bounds and simple proofs of the CLT. J. Statist. Plann. Inference. 63:1997;157-171.
    • (1997) J. Statist. Plann. Inference , vol.63 , pp. 157-171
    • Cacoullos, T.1    Papathanasiou, V.2
  • 15
    • 0001523872 scopus 로고
    • Progressively censored samples in life testing
    • Cohen A.C. Progressively censored samples in life testing. Technometrics. 5:1963;327-329.
    • (1963) Technometrics , vol.5 , pp. 327-329
    • Cohen, A.C.1
  • 16
    • 0347630903 scopus 로고    scopus 로고
    • Estimation with sequential order statistics from exponential distributions
    • Cramer E., Kamps U. Estimation with sequential order statistics from exponential distributions. Ann. Inst. Statist. Math. 53:2001;307-324.
    • (2001) Ann. Inst. Statist. Math. , vol.53 , pp. 307-324
    • Cramer, E.1    Kamps, U.2
  • 18
    • 0002663322 scopus 로고
    • The maxima of the mean largest value of the range
    • Gumbel E.J. The maxima of the mean largest value of the range. Ann. Math. Statist. 25:1954;76-84.
    • (1954) Ann. Math. Statist. , vol.25 , pp. 76-84
    • Gumbel, E.J.1
  • 19
    • 0002515764 scopus 로고
    • Universal bounds for mean range and extreme observation
    • Hartley H.O., David H.A. Universal bounds for mean range and extreme observation. Ann. Math. Statist. 25:1954;85-99.
    • (1954) Ann. Math. Statist. , vol.25 , pp. 85-99
    • Hartley, H.O.1    David, H.A.2
  • 20
    • 0031569673 scopus 로고    scopus 로고
    • Sharp bounds for the expected value of order statistics
    • Huang J.S. Sharp bounds for the expected value of order statistics. Statist. Probab. Lett. 33:1997;105-107.
    • (1997) Statist. Probab. Lett. , vol.33 , pp. 105-107
    • Huang, J.S.1
  • 21
    • 0042008732 scopus 로고
    • Characterizations of the exponential distribution by weighted sums of iid random variables
    • Kamps U. Characterizations of the exponential distribution by weighted sums of iid random variables. Statist. Papers. 31:1990;233-237.
    • (1990) Statist. Papers , vol.31 , pp. 233-237
    • Kamps, U.1
  • 22
    • 0008955698 scopus 로고
    • A general recurrence relation for moments of order statistics in a class of probability distributions and characterizations
    • Kamps U. A general recurrence relation for moments of order statistics in a class of probability distributions and characterizations. Metrika. 38:1991;215-225.
    • (1991) Metrika , vol.38 , pp. 215-225
    • Kamps, U.1
  • 24
    • 0000203649 scopus 로고    scopus 로고
    • Order statistics, generalized.
    • S. Kotz, C.B. Read, & D.L. Banks. New York: Wiley
    • Kamps U. Order statistics, generalized. Kotz S., Read C.B., Banks D.L. Encyclopedia of Statistical Sciences, Update Vol. 3. 1999;553-557 Wiley, New York.
    • (1999) Encyclopedia of Statistical Sciences, Update Vol. 3. , pp. 553-557
    • Kamps, U.1
  • 25
    • 0042214069 scopus 로고    scopus 로고
    • On distributions of generalized order statistics
    • to appear
    • Kamps, U., Cramer, E., 2001. On distributions of generalized order statistics. Statistics, to appear.
    • (2001) Statistics
    • Kamps, U.1    Cramer, E.2
  • 26
    • 84984082173 scopus 로고
    • Ungleichungen für Extremwerte und andere Ranggrößen in Anwendung auf biometrische Probleme
    • Ludwig O. Ungleichungen für Extremwerte und andere Ranggrößen in Anwendung auf biometrische Probleme. Biom. Z. 1:1959;203-209.
    • (1959) Biom. Z. , vol.1 , pp. 203-209
    • Ludwig, O.1
  • 27
    • 0000471005 scopus 로고
    • A modification of Schwarz's inequality with applications to distributions
    • Moriguti S. A modification of Schwarz's inequality with applications to distributions. Ann. Math. Statist. 24:1953;107-113.
    • (1953) Ann. Math. Statist. , vol.24 , pp. 107-113
    • Moriguti, S.1
  • 29
    • 0000561979 scopus 로고
    • Some characterizations of distributions based on order statistics
    • Papathanasiou V. Some characterizations of distributions based on order statistics. Statist. Probab. Lett. 9:1990;145-147.
    • (1990) Statist. Probab. Lett. , vol.9 , pp. 145-147
    • Papathanasiou, V.1
  • 30
    • 0041713699 scopus 로고
    • Progressive censoring schemes.
    • S. Kotz, & N.L. Johnson. New York: Wiley
    • Sen P.K. Progressive censoring schemes. Kotz S., Johnson N.L. Encyclopedia of Statistical Sciences, Vol. 7. 1986;296-299 Wiley, New York.
    • (1986) Encyclopedia of Statistical Sciences, Vol. 7. , pp. 296-299
    • Sen, P.K.1
  • 31
    • 0002196048 scopus 로고
    • Interval estimation of parameters of life from progressively censored data
    • Viveros R., Balakrishnan N. Interval estimation of parameters of life from progressively censored data. Technometrics. 36:1994;84-91.
    • (1994) Technometrics , vol.36 , pp. 84-91
    • Viveros, R.1    Balakrishnan, N.2


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