메뉴 건너뛰기




Volumn 37, Issue 7-8, 2003, Pages 683-688

Reliability for lifetime distributions

Author keywords

Exponential distributions; Gamma distributions; Hypergeometric functions; Incomplete beta function; Incomplete gamma function; Reliability

Indexed keywords


EID: 0038358269     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(03)00074-8     Document Type: Article
Times cited : (30)

References (30)
  • 2
    • 0038429444 scopus 로고
    • Estimation of Pr (X < Y) in the exponential case with common location parameter
    • D.S. Bai and Y.W. Hong, Estimation of Pr (X < Y) in the exponential case with common location parameter, Communications in Statistics - Theory and Methods 21, 269-282, (1992).
    • (1992) Communications in Statistics - Theory and Methods , vol.21 , pp. 269-282
    • Bai, D.S.1    Hong, Y.W.2
  • 3
    • 0038090773 scopus 로고
    • On the estimation of Pr (Y < X) for the two-parameter exponential distribution
    • M.A. Beg, On the estimation of Pr (Y < X) for the two-parameter exponential distribution, Metrika 27, 29-34, (1980).
    • (1980) Metrika , vol.27 , pp. 29-34
    • Beg, M.A.1
  • 4
    • 0020193795 scopus 로고
    • On comparing estimators of Pr(Y < X) in the exponential case
    • A. Chao, On comparing estimators of Pr(Y < X) in the exponential case, IEEE Transactions on Reliability 31, 389-392, (1982).
    • (1982) IEEE Transactions on Reliability , vol.31 , pp. 389-392
    • Chao, A.1
  • 7
    • 0038767358 scopus 로고    scopus 로고
    • Unbiased estimators of Pr (X < Y) and their variances in the case of uniform and two-parameter exponential distributions
    • V.V. Ivshin, Unbiased estimators of Pr (X < Y) and their variances in the case of uniform and two-parameter exponential distributions, Journal of Mathematical Sciences 81, 2790-2793, (1996).
    • (1996) Journal of Mathematical Sciences , vol.81 , pp. 2790-2793
    • Ivshin, V.V.1
  • 8
    • 54649084588 scopus 로고    scopus 로고
    • On the estimation of the probabilities of a double linear inequality in the case of uniform and two-parameter exponential distributions
    • V.V. Ivshin, On the estimation of the probabilities of a double linear inequality in the case of uniform and two-parameter exponential distributions, Journal of Mathematical Sciences 88, 819-827, (1998).
    • (1998) Journal of Mathematical Sciences , vol.88 , pp. 819-827
    • Ivshin, V.V.1
  • 9
    • 0037753053 scopus 로고
    • On UMVUE estimators of Pr (Y < X) in the two-parameter exponential case
    • K. Iwase, On UMVUE estimators of Pr (Y < X) in the two-parameter exponential case, Mem. Fac. Hiroshima Univ. 9, 21-24, (1987).
    • (1987) Mem. Fac. Hiroshima Univ. , vol.9 , pp. 21-24
    • Iwase, K.1
  • 10
    • 0037753050 scopus 로고
    • Estimating Pr (X > Y) from exponential samples containing spurious observations
    • E.S. Jeevanand and N.U. Nair, Estimating Pr (X > Y) from exponential samples containing spurious observations, Communications in Statistics - Theory and Methods 23, 2629-2642, (1994).
    • (1994) Communications in Statistics - Theory and Methods , vol.23 , pp. 2629-2642
    • Jeevanand, E.S.1    Nair, N.U.2
  • 11
    • 0037753005 scopus 로고
    • Bounds on the variance of the U-statistic for symmetric distributions with shift alternatives
    • B.McK. Johnson, Bounds on the variance of the U-statistic for symmetric distributions with shift alternatives, Annals of Statistics 3, 955-958, (1975).
    • (1975) Annals of Statistics , vol.3 , pp. 955-958
    • Johnson, B.McK.1
  • 12
    • 0037753006 scopus 로고
    • Efficient estimation of Pr (Y < X) in the exponential case
    • G.D. Kelley, J.A. Kelley and W. Schurcany, Efficient estimation of Pr (Y < X) in the exponential case, Technometrics 18, 359-360, (1976).
    • (1976) Technometrics , vol.18 , pp. 359-360
    • Kelley, G.D.1    Kelley, J.A.2    Schurcany, W.3
  • 13
    • 0037753052 scopus 로고    scopus 로고
    • Development of matching priors for Pr (X < Y) in exponential distributions
    • G. Lee, Development of matching priors for Pr (X < Y) in exponential distributions, Journal of the Korean Statistical Society 27, 421-433, (1998).
    • (1998) Journal of the Korean Statistical Society , vol.27 , pp. 421-433
    • Lee, G.1
  • 15
    • 0038090770 scopus 로고
    • Erratum: On estimating Pr (X > Y) for the exponential distribution
    • S.P. Shah and Y.S. Sathe, Erratum: On estimating Pr (X > Y) for the exponential distribution, Communications in Statistics - Theory and Methods 10, 39-47, (1981); Communications in Statistics - Theory and Methods 11, 2357, (1982).
    • (1981) Communications in Statistics - Theory and Methods , vol.10 , pp. 39-47
    • Shah, S.P.1    Sathe, Y.S.2
  • 16
    • 29344452623 scopus 로고
    • S.P. Shah and Y.S. Sathe, Erratum: On estimating Pr (X > Y) for the exponential distribution, Communications in Statistics - Theory and Methods 10, 39-47, (1981); Communications in Statistics - Theory and Methods 11, 2357, (1982).
    • (1982) Communications in Statistics - Theory and Methods , vol.11 , pp. 2357
  • 17
    • 4043072291 scopus 로고    scopus 로고
    • Estimating Pr (X > Y) in exponential model revisited
    • B.K. Sinha and R. Zieliński, Estimating Pr (X > Y) in exponential model revisited, Statistics 29, 299-316, (1997).
    • (1997) Statistics , vol.29 , pp. 299-316
    • Sinha, B.K.1    Zieliński, R.2
  • 18
    • 84952127772 scopus 로고
    • A note on the estimation of Pr (Y < X) in the exponential case
    • H. Tong, A note on the estimation of Pr (Y < X) in the exponential case, Technometrics 16, 625, (1974).
    • (1974) Technometrics , vol.16 , pp. 625
    • Tong, H.1
  • 19
    • 0038429449 scopus 로고
    • Letter to the editor
    • H. Tong, Letter to the editor, Technometrics 17, 395, (1975).
    • (1975) Technometrics , vol.17 , pp. 395
    • Tong, H.1
  • 21
    • 0001465453 scopus 로고
    • The generalized Gompertz-Verhulst family of distributions
    • J.C. Ahuja and S.W. Nash, The generalized Gompertz-Verhulst family of distributions, Sankhyā A 29, 141-156, (1967).
    • (1967) Sankhyā A , vol.29 , pp. 141-156
    • Ahuja, J.C.1    Nash, S.W.2
  • 23
    • 0038090769 scopus 로고
    • On distribution of precipitation amounts for the periods of increasing length
    • S. Kotz and J. Neumann, On distribution of precipitation amounts for the periods of increasing length, Journal of Geophysical Research 68, 3635-3641, (1963).
    • (1963) Journal of Geophysical Research , vol.68 , pp. 3635-3641
    • Kotz, S.1    Neumann, J.2
  • 24
    • 0021412055 scopus 로고
    • The gamma distribution and the weighted multimodal gamma distributions as models of population abundance
    • B. Dennis and G.P. Patil, The gamma distribution and the weighted multimodal gamma distributions as models of population abundance, Mathematical Biosciences 68, 187-212, (1984).
    • (1984) Mathematical Biosciences , vol.68 , pp. 187-212
    • Dennis, B.1    Patil, G.P.2
  • 29
    • 33745653477 scopus 로고
    • Ricerche intorno alla curva dei redditi
    • L. Amoroso, Ricerche intorno alla curva dei redditi, Annali di Mathematica, Series IV (2), 123-159, (1925).
    • (1925) Annali di Mathematica, Series , vol.4 , Issue.2 , pp. 123-159
    • Amoroso, L.1
  • 30
    • 0038767315 scopus 로고
    • A physical basis for the generalized gamma distribution
    • H.J. Leinhard and P.L. Meyer, A physical basis for the generalized gamma distribution, Quarterly of Applied Mathematics 25, 330-334, (1967).
    • (1967) Quarterly of Applied Mathematics , vol.25 , pp. 330-334
    • Leinhard, H.J.1    Meyer, P.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.