메뉴 건너뛰기




Volumn 35, Issue 7, 2006, Pages 1189-1199

Characterization of continuous distributions by variance bound and its implications to reliability modeling and catastrophe theory

Author keywords

Catastrophe theory; Characterization; Conditional expectations; Exponential and Pearson families; Failure rate; Reliability; Variance bound

Indexed keywords

CHARACTERIZATION; MATHEMATICAL MODELS; NUMBER THEORY; PROBABILITY DISTRIBUTIONS; RELIABILITY;

EID: 33747190339     PISSN: 03610926     EISSN: 1532415X     Source Type: Journal    
DOI: 10.1080/03610920600629443     Document Type: Article
Times cited : (12)

References (21)
  • 1
    • 84871636447 scopus 로고
    • Characterization of beta, binomial and Poisson distribution
    • Ahmed, A. N. (1991). Characterization of beta, binomial and Poisson distribution. IEEE Trans. Reliab. 40:290-293.
    • (1991) IEEE Trans. Reliab. , vol.40 , pp. 290-293
    • Ahmed, A.N.1
  • 2
    • 0000588175 scopus 로고
    • On an inequality and a related characterization of the normal distribution
    • Borokov, A. A., Utev, S. A. (1983). On an inequality and a related characterization of the normal distribution. Theory Probab. Appl. 28:219-228.
    • (1983) Theory Probab. Appl. , vol.28 , pp. 219-228
    • Borokov, A.A.1    Utev, S.A.2
  • 3
    • 0000563405 scopus 로고
    • On upper and lower bounds for the variance of a function of a random variable
    • Cacoullos, T. (1982). On upper and lower bounds for the variance of a function of a random variable. Ann. Probab. 10:709-809.
    • (1982) Ann. Probab. , vol.10 , pp. 709-809
    • Cacoullos, T.1
  • 4
    • 0000376895 scopus 로고
    • On upper bounds on the variance of random variables
    • Cacoullos, T., Papathanassiou, N. (1985). On upper bounds on the variance of random variables. Statist. Probab. Lett. 1:175-184.
    • (1985) Statist. Probab. Lett. , vol.1 , pp. 175-184
    • Cacoullos, T.1    Papathanassiou, N.2
  • 5
    • 38249022748 scopus 로고
    • Characterization of distribution by variance bounds
    • Cacoullos, T., Papatbanassiou, N. (1989). Characterization of distribution by variance bounds. Statist. Probab. Lett. 7:351-356.
    • (1989) Statist. Probab. Lett. , vol.7 , pp. 351-356
    • Cacoullos, T.1    Papatbanassiou, N.2
  • 6
    • 0031572807 scopus 로고    scopus 로고
    • Characterizations of distributions by generalizations of variance bounds and simple proofs of the C. L. T. J
    • Cacoullos, T., Papathanassiou, V. (1997). Characterizations of distributions by generalizations of variance bounds and simple proofs of the C. L. T. J. Statist. Planning Inf. 63:157-171.
    • (1997) Statist. Planning Inf. , vol.63 , pp. 157-171
    • Cacoullos, T.1    Papathanassiou, V.2
  • 7
    • 0001136294 scopus 로고
    • A note on an inequality involving the normal distribution
    • Chernoff, H. (1981) A note on an inequality involving the normal distribution. Ann. Probab. 9:533-535
    • (1981) Ann. Probab. , vol.9 , pp. 533-535
    • Chernoff, H.1
  • 8
    • 0142096111 scopus 로고
    • The multimodal exponential families of statistical catastrophe theory
    • Taille, C., Patel, G. P., Baldessari. B. A., eds. Netherlands: Reidel
    • Cobb, L. (1981). The multimodal exponential families of statistical catastrophe theory. In: Taille, C., Patel, G. P., Baldessari. B. A., eds. Statistical Distributions in Scientific Work. Vol. 4. Netherlands: Reidel.
    • (1981) Statistical Distributions in Scientific Work , vol.4
    • Cobb, L.1
  • 9
    • 0029378970 scopus 로고
    • Some characterization of exponential class of distributions
    • Consul, P. C. (1995). Some characterization of exponential class of distributions. IEEE Trans. Reliab. 44(3):403-407.
    • (1995) IEEE Trans. Reliab. , vol.44 , Issue.3 , pp. 403-407
    • Consul, P.C.1
  • 10
    • 33747179453 scopus 로고    scopus 로고
    • Representing mean residual life in terms of the failure rate
    • Gupta, R. C., Bradely, D. M. (2003). Representing mean residual life in terms of the failure rate. Math. Comput. Modeling 1:1-10.
    • (2003) Math. Comput. Modeling , vol.1 , pp. 1-10
    • Gupta, R.C.1    Bradely, D.M.2
  • 11
    • 0026136644 scopus 로고
    • Characterization of Pearson family of distribution
    • Nair, N. U., Sankaran, P. G. (1991). Characterization of Pearson family of distribution. IEEE Trans. Reliab. 40(1):75-77.
    • (1991) IEEE Trans. Reliab. , vol.40 , Issue.1 , pp. 75-77
    • Nair, N.U.1    Sankaran, P.G.2
  • 12
    • 32444444324 scopus 로고    scopus 로고
    • Characterization of distribution using reliability concepts
    • To appear
    • Nair, N. U., Sankaran. P. G., Asha, G. (2005). Characterization of distribution using reliability concepts. To appear in J. Appl. Statist. Sci.
    • (2005) J. Appl. Statist. Sci.
    • Nair, N.U.1    Sankaran, P.G.2    Asha, G.3
  • 13
    • 0742318072 scopus 로고    scopus 로고
    • Characterization through moments of residual life and conditional spacing
    • Navarro, J., Franco, M., Ruizz, J.M. (1998). Characterization through moments of residual life and conditional spacing. Sankhya A 60:36-48.
    • (1998) Sankhya A , vol.60 , pp. 36-48
    • Navarro, J.1    Franco, M.2    Ruizz, J.M.3
  • 14
    • 0024092484 scopus 로고
    • Characterization of gamma and negative binomial distributions
    • Osaki, S., Li, X. (1988). Characterization of gamma and negative binomial distributions. IEEE Trans. Reliab. 37(4):379-382.
    • (1988) IEEE Trans. Reliab. , vol.37 , Issue.4 , pp. 379-382
    • Osaki, S.1    Li, X.2
  • 15
    • 0000660294 scopus 로고
    • Another characterization of multivariate normal distribution
    • Prakasa Rao, B. L. S., Sreehari, M. (1986). Another characterization of multivariate normal distribution. Statist. Probab. Lett. 4:208-210.
    • (1986) Statist. Probab. Lett. , vol.4 , pp. 208-210
    • Prakasa Rao, B.L.S.1    Sreehari, M.2
  • 16
    • 84985527632 scopus 로고
    • On a characterization of Poisson distribution through inequalities of Chernoff type
    • Prakasa Rao, B. L. S., Sreehari, M. (1987). On a characterization of Poisson distribution through inequalities of Chernoff type. Austr. J. Statist. 29(1):38-43.
    • (1987) Austr. J. Statist. , vol.29 , Issue.1 , pp. 38-43
    • Prakasa Rao, B.L.S.1    Sreehari, M.2
  • 17
    • 0028751944 scopus 로고
    • Characterization of distribution by relationship between failure rate and mean residual life
    • Ruizz, J. M., Navarro, J. (1994). Characterization of distribution by relationship between failure rate and mean residual life. IEEE Trans. Reliab. 43(4):640-644.
    • (1994) IEEE Trans. Reliab. , vol.43 , Issue.4 , pp. 640-644
    • Ruizz, J.M.1    Navarro, J.2
  • 18
    • 0038238168 scopus 로고    scopus 로고
    • A generalized Pearson system useful in reliability analysis
    • Sankaran, P. G., Nair, N. U., Sindhu, T. K. (2003). A generalized Pearson system useful in reliability analysis. Statist. Papers 4(1): 125-130.
    • (2003) Statist. Papers , vol.4 , Issue.1 , pp. 125-130
    • Sankaran, P.G.1    Nair, N.U.2    Sindhu, T.K.3
  • 19
    • 0001599180 scopus 로고
    • Characterization of family of distribution via Chemoff-type inequality
    • Srivastava, D., Sreehari, M. (1987). Characterization of family of distribution via Chemoff-type inequality. Statist. Probab. Lett. 5:293-294.
    • (1987) Statist. Probab. Lett. , vol.5 , pp. 293-294
    • Srivastava, D.1    Sreehari, M.2
  • 20
    • 0001277846 scopus 로고
    • Characterization results on variance bounds
    • Srivastava, D., Sreehari, M. (1990). Characterization results on variance bounds. Sankhya A 52:297-302.
    • (1990) Sankhya A , vol.52 , pp. 297-302
    • Srivastava, D.1    Sreehari, M.2
  • 21
    • 0001526725 scopus 로고
    • Characterization of uniform distribution by inequalities of Chemoff type
    • Sumitra, P., Bhandari, S. K. (1990). Characterization of uniform distribution by inequalities of Chemoff type. Sankhya A 52:376-382.
    • (1990) Sankhya A , vol.52 , pp. 376-382
    • Sumitra, P.1    Bhandari, S.K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.