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Journal of the American Statistical Association Volume 71, 1976 - Issue 354
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Theory and Method

Estimating the Parameters of a Multivariate Exponential Distribution

Frank Proschan Department of Statistics, The Florida State University, Tallahassee, FL, 32306, USA
&
Pasquale Sullo Department of Operations Research and Statistics, Rensselaer Polytechnic Institute, Troy, NY, 12181, USA
Pages 465-472 | Received 01 Nov 1974, Published online: 05 Apr 2012

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Inez M. Zwetsloot, Tahir Mahmood & William H. Woodall. (2021) Multivariate time-between-events monitoring: An overview and some overlooked underlying complexities. Quality Engineering 33:1, pages 13-25.
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Sudeep R. Bapat. (2018) Purely Sequential Fixed Accuracy Confidence Intervals for ( < ) under Bivariate Exponential Models. American Journal of Mathematical and Management Sciences 37:4, pages 386-400.
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G. S. David Sam Jayakumar, A. Solairaju & A. Sulthan. (2017) A form of multivariate generalised exponential family of distribution. Journal of Statistics and Management Systems 20:5, pages 847-870.
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Alexandru V. Asimit, Edward Furman & Raluca Vernic. (2016) Statistical Inference for a New Class of Multivariate Pareto Distributions. Communications in Statistics - Simulation and Computation 45:2, pages 456-471.
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David D. Hanagal. (1996) A multivariate pareto distribution. Communications in Statistics - Theory and Methods 25:7, pages 1471-1488.
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David D. Hanagal. (1993) Some inference results in several symmetric multivariate exponential models. Communications in Statistics - Theory and Methods 22:9, pages 276-288.
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Khoan T Dinh, Jagbir Singh & Ramesh C Gupta. (1991) Estimation of reliability in bivariate distributions. Statistics 22:3, pages 409-417.
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P. Sarmah & A.D. Dharrnadhikari. (1988) Statistical analysis of a two-unit dependent repairable system. Communications in Statistics - Theory and Methods 17:5, pages 1385-1400.
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Nader Ebrahimi. (1987) Analysis of Bivariate Accelerated Life Test Data for the Bivariate Exponential Distribution. American Journal of Mathematical and Management Sciences 7:1-2, pages 175-190.
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RussellA. Boyles & FranciscoJ. Samaniego. (1984) Modeling and Inference for Multivariate Binary Data with Positive Dependence. Journal of the American Statistical Association 79:385, pages 188-193.
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A.P. Basu & Nader Ebrahimi. (1984) Testing whether survival function is bivariate new better than used. Communications in Statistics - Theory and Methods 13:15, pages 1839-1849.
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RussellA. Boyles & FranciscoJ. Samaniego. (1983) Maximum Likelihood Estimation for a Discrete Multivariate Shock Model. Journal of the American Statistical Association 78:382, pages 445-448.
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A. M. Awad, M. M. Azzam & M. A. Hamdan. (1981) Some inference results on pr(x < y) in the bivariate exponential model. Communications in Statistics - Theory and Methods 10:24, pages 2515-2525.
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A. W. Marshall & I. Olkin. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
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Roberto S. Mariano. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
N. Balakrishnan. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
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Gerd K. Rosenkranz. (2011) Another view on the analysis of cardiovascular morbidity/mortality trials. Pharmaceutical Statistics 10:3, pages 196-202.
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Chin Diew Lai & N. BalakrishnanN. Balakrishna & Chin Diew Lai. 2009. Continuous Bivariate Distributions. Continuous Bivariate Distributions 401 475 .
Paul Deheuvels & Guennadi V. Martynov. (2008) A Karhunen–Loeve decomposition of a Gaussian process generated by independent pairs of exponential random variables. Journal of Functional Analysis 255:9, pages 2363-2394.
Crossref
N. Balakrishnan. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
William S. Griffith. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
A. W. Marshall & I. Olkin. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Roberto S. Mariano. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
William S. Griffith. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
A. W. Marshall & I. Olkin. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
Roberto S. Mariano. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
N. Balakrishnan. 2004. Encyclopedia of Actuarial Science. Encyclopedia of Actuarial Science.
N. Balakrishnan. 2004. Encyclopedia of Statistical Sciences. Encyclopedia of Statistical Sciences.
A.M. Salem & M.A. El-Damcese. (2004) Reliability of systems subject to common—cause hazards. Nuclear Engineering and Design 227:3, pages 349-354.
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D.K. Manna, Surajit Pal & A. Kulandaiyan. (2004) Warranty cost estimation of a multi‐module product. International Journal of Quality & Reliability Management 21:1, pages 102-117.
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Dimitris Karlis. (2003) ML estimation for multivariate shock models via an EM algorithm. Annals of the Institute of Statistical Mathematics 55:4, pages 817-830.
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Paul Deheuvels. 2002. Goodness-of-Fit Tests and Model Validity. Goodness-of-Fit Tests and Model Validity 463 476 .
Edwin R. van den Heuvel & Chris A. J. Klaassen. (2007) Bayes Convolution. International Statistical Review 67:3, pages 287-299.
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M. Samanta & A. Thavaneswaran. 1998. Quality Improvement Through Statistical Methods. Quality Improvement Through Statistical Methods 381 389 .
E. S. Jeevanand & Veenus Padamadan. (1996) Parameter estimation for a bivariate pareto distribution. Statistical Papers 37:2, pages 153-164.
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Paul H. Kvam. 1996. Lifetime Data: Models in Reliability and Survival Analysis. Lifetime Data: Models in Reliability and Survival Analysis 187 194 .
Ingram Olkin & Y. L. Tong. (1994) Positive Dependence of a Class of Multivariate Exponential Distributions. SIAM Journal on Control and Optimization 32:4, pages 965-974.
Crossref
Shinto Eguchi. (1992) The projection method for accelerated life test model in bivariate exponential distributions. Hiroshima Mathematical Journal 22:1.
Crossref
J.-C. Lu. (1992) Bayes parameter estimation for the bivariate Weibull model of Marshall-Olkin for censored data (reliability theory). IEEE Transactions on Reliability 41:4, pages 608-615.
Crossref
Edsel A. Peña. (1991) Improved estimation for a model arising in reliability and competing risks. Journal of Multivariate Analysis 36:1, pages 18-34.
Crossref
Wayne Nelson. 1990. Accelerated Testing. Accelerated Testing 561 577 .
Hiroto Hyakutake. (1990) Statistical inferences on location parameters of bivariate exponential distributions. Hiroshima Mathematical Journal 20:3.
Crossref
G.R. Dargahi-Noubary. (1988) A parametric solution for simple stress—strength model of failure with an application. Journal of Computational and Applied Mathematics 23:2, pages 185-197.
Crossref
Asit P. Basu. 1988. Quality Control and Reliability. Quality Control and Reliability 467 477 .
Kyung C. Chae & Gordon M. Clark. (1986) System Reliability in the Presence of Common-Cause Failures. IEEE Transactions on Reliability 35:1, pages 32-35.
Crossref
Nader Ebrahimi. (1982) Estimation of Reliability For a Series Stress-Strength System. IEEE Transactions on Reliability R-31:2, pages 202-205.
Crossref
A. P. Basu. (2007) The estimation of P(x < Y ) for distributions useful in life testing . Naval Research Logistics Quarterly 28:3, pages 383-392.
Crossref
Vali Alexandru Asimit, Edward Furman & Raluca Vernic. (2012) On a Multivariate Pareto Distribution: Estimation Methods. SSRN Electronic Journal.
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