Mi, Jie

Mi, Jie
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Positions

Professor, Mathematics and Statistics , College of Arts, Sciences & Education

Contact Info

mi@fiu.edu

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overview

Jie Mi is a Professor in Mathematics and Statistics.

PhD, 1991, University of Pittsburgh

research interests

Reliability
Applied Statistics

selected publications

Article
- 2021
  
  ON INTERVAL AND INSTANT AVAILABILITY OF THE SYSTEM
  Full Text via DOI: 10.1017/S026996482000008X Web of Science: 000664672700016
- 2021
  
  Effects of Group Size on the MLE of Proportion in Group Testing
  Web of Science: 000657663000001
- 2020
  
  APPLICATIONS OF LIKELIHOOD RATIO ORDER IN BAYESIAN INFERENCES. PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES. 34:1-13.
  Full Text via DOI: 10.1017/S026996481800027X Web of Science: 000506963600001
- 2019
  
  Some limit results in estimation of proportion based on group testing. METRIKA. 82:1021-1038.
  Full Text via DOI: 10.1007/s00184-019-00719-4 Web of Science: 000490002400006
- 2019
  
  Study on Moment-(in)determinacy in Stieltjes Moment Problem. INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS. 58:31-49.
  Web of Science: 000486362400003
- 2018
  
  A new non-parametric estimator for instant system availability. COMPUTATIONAL STATISTICS & DATA ANALYSIS. 118:18-29.
  Full Text via DOI: 10.1016/j.csda.2017.09.001 Web of Science: 000415395000002
- 2016
  
  Availability of Systems with or Without Inspections. QUALITY AND RELIABILITY MANAGEMENT AND ITS APPLICATIONS. 249-275.
  Full Text via DOI: 10.1007/978-1-4471-6778-5_9 Web of Science: 000369633700010
- 2016
  
  Dynamic mixing probability measures of mixtures. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS. 45:4824-4839.
  Full Text via DOI: 10.1080/03610926.2014.930913 Web of Science: 000380050700013
- 2016
  
  Inference about parameters in Binomial-Poisson distribution with additional incomplete data. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS. 45:3206-3222.
  Full Text via DOI: 10.1080/03610926.2014.901367 Web of Science: 000375481600010
- 2015
  
  Inference about Weibull Distribution Using Upper Record Values. INTERNATIONAL JOURNAL OF RELIABILITY QUALITY & SAFETY ENGINEERING. 22.
  Full Text via DOI: 10.1142/S0218539315500163 Web of Science: 000216429200001
- 2015
  
  An Alternative Bayesian Estimator of Small Proportion Using Binomial Group Testing. INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS. 53.
  Web of Science: 000374223900001
- 2015
  
  On the timing to switch on the standby in k-out-of-n:G redundant systems. STATISTICS & PROBABILITY LETTERS. 96:10-20.
  Full Text via DOI: 10.1016/j.spl.2014.08.022 Web of Science: 000346894500002
- 2015
  
  STUDY OF INSTANT SYSTEM AVAILABILITY. PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES. 29:117-129.
  Full Text via DOI: 10.1017/S0269964814000242 Web of Science: 000351999000006
- 2013
  
  Properties and computation of interval availability of system. STATISTICS & PROBABILITY LETTERS. 83:1388-1396.
  Full Text via DOI: 10.1016/j.spl.2013.01.018 Web of Science: 000317808700011
- 2012
  
  Inference about reliability parameter with gamma strength and stress. JOURNAL OF STATISTICAL PLANNING AND INFERENCE. 142:848-854.
  Full Text via DOI: 10.1016/j.jspi.2011.10.005 Web of Science: 000299856500008
- 2011
  
  STATISTICAL INFERENCE ABOUT AVAILABILITY OF SYSTEM WITH GAMMA LIFETIME AND REPAIR TIME
  Full Text via DOI: 10.1142/S0218539311004007 Web of Science: 000216415800001
- 2011
  
  Limit of hazard rate function of coherent system with discrete life. APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY. 27:551-556.
  Full Text via DOI: 10.1002/asmb.863 Web of Science: 000296383800009
- 2011
  
  On a Stochastic Survival Model for a System Under Randomly Variable Environment. METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY. 13:549-561.
  Full Text via DOI: 10.1007/s11009-010-9171-1 Web of Science: 000292819000006
- 2011
  
  Some Aspects of Probability of Correct Selections. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS. 40:4484-4495.
  Full Text via DOI: 10.1080/03610926.2010.510254 Web of Science: 000304061300013
- 2010
  
  Estimation of quantities determined as implicit functions of unknown parameters. METRIKA. 71:353-359.
  Full Text via DOI: 10.1007/s00184-009-0235-6 Web of Science: 000275658300007
- 2010
  
  Some properties of hazard rate functions of systems with two components. JOURNAL OF STATISTICAL PLANNING AND INFERENCE. 140:444-453.
  Full Text via DOI: 10.1016/j.jspi.2009.07.023 Web of Science: 000272059900010
- 2009
  
  On the Existence and Uniqueness of the Maximum Likelihood Estimators of Normal and Lognormal Population Parameters with Grouped Data
  Full Text via DOI: 10.1155/2009/310575 Web of Science: 000215709300005
- 2008
  
  Modelling a general standby system and evaluation of its performance. APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY. 24:159-169.
  Full Text via DOI: 10.1002/asmb.704 Web of Science: 000255444600004
- 2008
  
  On optimal operating conditions for a data processing system: A stochastic approach. APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY. 24:31-49.
  Full Text via DOI: 10.1002/asmb.691 Web of Science: 000253556100005
- 2008
  
  Order statistics and test duration. JOURNAL OF STATISTICAL PLANNING AND INFERENCE. 138:834-844.
  Full Text via DOI: 10.1016/j.jspi.2007.02.002 Web of Science: 000253181600003
- 2008
  
  Some properties of convolutions of Pascal and Erlang random variables. STATISTICS & PROBABILITY LETTERS. 78:2378-2387.
  Full Text via DOI: 10.1016/j.spl.2008.02.017 Web of Science: 000260698300016
- 2007
  
  Study of a Stochastic Failure Model in a Random Environment
  Full Text via DOI: 10.1017/s0021900200002771
- 2007
  
  Estimation of parameters in logistic and log-logistic distribution with grouped data. LIFETIME DATA ANALYSIS. 13:421-429.
  Full Text via DOI: 10.1007/s10985-007-9038-0 PMID: 17546498 Web of Science: 000249458900008
- 2007
  
  Optimal burn-in procedure for periodically inspected systems. NAVAL RESEARCH LOGISTICS. 54:720-731.
  Full Text via DOI: 10.1002/nav.20240 Web of Science: 000249480200003
- 2007
  
  Some probability functions in reliability and their applications. NAVAL RESEARCH LOGISTICS. 54:128-135.
  Full Text via DOI: 10.1002/nav.20192 Web of Science: 000244208100002
- 2007
  
  Study of a stochastic failure model in a random environment. JOURNAL OF APPLIED PROBABILITY. 44:151-163.
  Full Text via DOI: 10.1239/jap/1175267169 Web of Science: 000245837000010
- 2006
  
  Limiting availability of system with non-identical lifetime distributions and non-identical repair time distributions. STATISTICS & PROBABILITY LETTERS. 76:729-736.
  Full Text via DOI: 10.1016/j.spl.2005.10.004 Web of Science: 000236451600010
- 2006
  
  MLE of parameters of location-scale distribution for complete and partially grouped data. JOURNAL OF STATISTICAL PLANNING AND INFERENCE. 136:3565-3582.
  Full Text via DOI: 10.1016/j.jspi.2005.03.003 Web of Science: 000238893600012
- 2006
  
  Pseudo availability of repairable system. METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY. 8:93-103.
  Full Text via DOI: 10.1007/s11009-006-7290-5 Web of Science: 000237488300004
- 2006
  
  Testing for scale families using total variation distance. JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION. 76:773-792.
  Full Text via DOI: 10.1080/10629360500282080 Web of Science: 000238565600003
- 2005
  
  Bounds to optimal burn-in and optimal work size. APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY. 21:227-239.
  Full Text via DOI: 10.1002/asmb.550 Web of Science: 000230352600001
- 2005
  
  Exact confidence region for the parameters of the gamma distribution based on two independent samples. STATISTICS. 39:519-527.
  Full Text via DOI: 10.1080/02331880500309993 Web of Science: 000234379800004
- 2004
  
  Bounding the optimal burn-in time for a system with two types of failure. NAVAL RESEARCH LOGISTICS. 51.
  Full Text via DOI: 10.1002/nav.20045 Web of Science: 000225089500003
- 2004
  
  An optimal trade-off between content freshness and refresh cost. JOURNAL OF APPLIED PROBABILITY. 41.
  Full Text via DOI: 10.1239/jap/1091543421 Web of Science: 000223706000009
- 2004
  
  An optimal trade-off between content freshness and refresh cost
  Full Text via DOI: 10.1017/s0021900200020507
- 2004
  
  A general approach to the shape of failure rate and MRL functions. NAVAL RESEARCH LOGISTICS. 51.
  Full Text via DOI: 10.1002/nav.20014 Web of Science: 000220912900006
- 2004
  
  Comparison of steady system availability with imperfect repair. APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY. 20.
  Full Text via DOI: 10.1002/asmb.512 Web of Science: 000221599000004
- 2003
  
  Existence and uniqueness of the MLEs for normal distribution based on general progressively Type-II censored samples. STATISTICS & PROBABILITY LETTERS. 64.
  Full Text via DOI: 10.1016/S0167-7152(03)00206-2 Web of Science: 000186490400008
- 2003
  
  Shape and crossing properties of mean residual life functions. STATISTICS & PROBABILITY LETTERS. 64.
  Full Text via DOI: 10.1016/S0167-7152(03)00147-0 Web of Science: 000185300800001
- 2003
  
  Inferences about the scale parameter of the gamma distribution based on data mixed from censoring and grouping. STATISTICS & PROBABILITY LETTERS. 62.
  Full Text via DOI: 10.1016/S0167-7152(03)0005-1 Web of Science: 000182152200003
- 2003
  
  A unified way of comparing the reliability of coherent systems. IEEE TRANSACTIONS ON RELIABILITY. 52.
  Full Text via DOI: 10.1109/TR.2002.805777 Web of Science: 000181104200012
- 2003
  
  Optimal burn-in time and eventually IFR
  Full Text via DOI: 10.1080/10170660309509258
- 2002
  
  On bounds for some optimal policies in reliability. JOURNAL OF APPLIED PROBABILITY. 39.
  Full Text via DOI: 10.1017/S0021900200021744 Web of Science: 000179130500004
- 2002
  
  On bounds for some optimal policies in reliability
  Full Text via DOI: 10.1239/jap/1034082122
- 2002
  
  Age-replacement policy and optimal work size. JOURNAL OF APPLIED PROBABILITY. 39.
  Full Text via DOI: 10.1017/S002190020002252X Web of Science: 000177222000006
- 2002
  
  Age-replacement policy and optimal work size
  Full Text via DOI: 10.1239/jap/1025131427
- 2002
  
  Stochastic Order and MLE of the Mean of the Exponential Distribution
  Full Text via DOI: 10.1023/a:1015709631421
- 2001
  
  Order-preserving property of maximum likelihood estimator. JOURNAL OF STATISTICAL PLANNING AND INFERENCE. 98.
  Full Text via DOI: 10.1016/S0378-3758(00)00242-1 Web of Science: 000170632000007
- 2001
  
  A variational calculus approach to optimal checkpoint placement. IEEE TRANSACTIONS ON COMPUTERS. 50.
  Web of Science: 000169945400007
- 2001
  
  An approximate confidence interval for the scale parameter of the gamma distribution based on grouped data. STATISTICAL PAPERS. 42.
  Full Text via DOI: 10.1007/s003620100059 Web of Science: 000169955700001
- 2001
  
  Estimation of the change point of a distribution based on the number of failed test items. METRIKA. 53.
  Full Text via DOI: 10.1007/s001840000090 Web of Science: 000168479700003
- 2001
  
  On some properties of the quantiles of the chi-square distribution and their applications to interval estimation. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS. 30.
  Full Text via DOI: 10.1081/STA-100105701 Web of Science: 000171376300024
- 2000
  
  Average number of events and average reward. PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES. 14.
  Full Text via DOI: 10.1017/S0269964800144079 Web of Science: 000165154600007
- 1999
  
  Mean residual life and its association with failure rate. IEEE TRANSACTIONS ON RELIABILITY. 48.
  Full Text via DOI: 10.1109/24.799897 Web of Science: 000083326800009
- 1999
  
  Optimal active redundancy allocation in k-out-of-n system
  Full Text via DOI: 10.1017/s002190020001768x
- 1999
  
  Optimal active redundancy allocation in k-out-of-n system. JOURNAL OF APPLIED PROBABILITY. 36.
  Full Text via DOI: 10.1239/jap/1032374645 Web of Science: 000084090500025
- 1999
  
  Age-smooth properties of mixture models. STATISTICS & PROBABILITY LETTERS. 43.
  Full Text via DOI: 10.1016/S0167-7152(98)00262-4 Web of Science: 000080385400002
- 1999
  
  Comparisons of renewable warranties. NAVAL RESEARCH LOGISTICS. 46.
  Web of Science: 000078139100006
- 1999
  
  On measure of system interval availability. PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES. 13.
  Web of Science: 000080935900007
- 1998
  
  A new explanation of decreasing failure rate of a mixture of exponentials. IEEE TRANSACTIONS ON RELIABILITY. 47.
  Full Text via DOI: 10.1109/24.756090 Web of Science: 000079621800010
- 1998
  
  Bolstering components for maximizing system lifetime. NAVAL RESEARCH LOGISTICS. 45.
  Full Text via DOI: 10.1002/(SICI)1520-6750(199808)45:5<497::AID-NAV4>3.0.CO;2-Z Web of Science: 000075154000004
- 1998
  
  Some comparison results of system availability. NAVAL RESEARCH LOGISTICS. 45.
  Full Text via DOI: 10.1002/(SICI)1520-6750(199803)45:2<205::AID-NAV5>3.0.CO;2-C Web of Science: 000072024200005
- 1998
  
  Statistical estimation for the scale parameter of the gamma distribution based on grouped data. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS. 27.
  Full Text via DOI: 10.1080/03610929808832271 Web of Science: 000077485200011
- 1997
  
  Warranty policies and burn-in. NAVAL RESEARCH LOGISTICS. 44.
  Web of Science: A1997WH90000004
- 1996
  
  Confidence interval for the mean of the exponential distribution, based on grouped data. IEEE TRANSACTIONS ON RELIABILITY. 45.
  Full Text via DOI: 10.1109/24.556592 Web of Science: A1996WH55800025
- 1996
  
  Crossing properties of F distributions. STATISTICS & PROBABILITY LETTERS. 27.
  Full Text via DOI: 10.1016/0167-7152(95)00088-7 Web of Science: A1996UH49400001
- 1996
  
  Limiting behavior of mixtures of discrete lifetime distributions. NAVAL RESEARCH LOGISTICS. 43.
  Full Text via DOI: 10.1002/(SICI)1520-6750(199604)43:3<365::AID-NAV4>3.0.CO;2-7 Web of Science: A1996UA46800004
- 1996
  
  Burn-in and its applications. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK. 76.
  Web of Science: A1996VR47500060
- 1996
  
  Minimizing some cost functions related to both burn-in and field use. OPERATIONS RESEARCH. 44.
  Full Text via DOI: 10.1287/opre.44.3.497 Web of Science: A1996VW83900008
- 1996
  
  Strongly consistent estimation for hazard rate models with a change point. STATISTICS. 28.
  Full Text via DOI: 10.1080/02331889708802546 Web of Science: A1996UR80700004
- 1995
  
  BATHTUB FAILURE RATE AND UPSIDE-DOWN BATHTUB MEAN RESIDUAL LIFE. IEEE TRANSACTIONS ON RELIABILITY. 44.
  Full Text via DOI: 10.1109/24.406570 Web of Science: A1995RR13500006
- 1995
  
  LIMITING BEHAVIOR OF SOME MEASURES OF SYSTEM AVAILABILITY. JOURNAL OF APPLIED PROBABILITY. 32.
  Full Text via DOI: 10.2307/3215302 Web of Science: A1995RD46900015
- 1995
  
  Limiting behavior of some measures of system availability
  Full Text via DOI: 10.1017/s002190020010292x
- 1995
  
  ESTIMATION OF NON-OCCURRENCE PROBABILITY IN PERIODIC MODEL. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS. 24.
  Full Text via DOI: 10.1080/03610929508831567 Web of Science: A1995RA35300008
- 1994
  
  MAXIMIZATION OF A SURVIVAL PROBABILITY AND ITS APPLICATION. JOURNAL OF APPLIED PROBABILITY. 31.
  Full Text via DOI: 10.2307/3215326 Web of Science: A1994PY02900014
- 1994
  
  Maximization of a survival probability and its application
  Full Text via DOI: 10.1017/s002190020009954x
- 1994
  
  SOME RESULTS ON BURN-IN. STATISTICA SINICA. 4.
  Web of Science: A1994PK25300009
- 1994
  
  ESTIMATION IN DISCRETE FAILURE RATE MODELS WITH A CHANGE-POINT. NAVAL RESEARCH LOGISTICS. 41.
  Full Text via DOI: 10.1002/1520-6750(199406)41:4<537::AID-NAV3220410406>3.0.CO;2-2 Web of Science: A1994NG05200005
- 1994
  
  BURN-IN AND MAINTENANCE POLICIES. ADVANCES IN APPLIED PROBABILITY. 26.
  Full Text via DOI: 10.2307/1427587 Web of Science: A1994MZ75500013
- 1994
  
  Burn-in and Maintenance Policies
  Full Text via DOI: 10.1017/s0001867800026082
- 1994
  
  Estimation related to mean residual life
  Full Text via DOI: 10.1080/10485259408832609
- 1993
  
  BURN-IN AND MIXED POPULATIONS. JOURNAL OF APPLIED PROBABILITY. 30.
  Full Text via DOI: 10.2307/3214775 Web of Science: A1993MA60400016
- 1993
  
  Burn-in and mixed populations
  Full Text via DOI: 10.1017/s0021900200044405
- 1993
  
  A COMPARISON OF THE BONFERRONI AND SCHEFFE BOUNDS. JOURNAL OF STATISTICAL PLANNING AND INFERENCE. 36.
  Full Text via DOI: 10.1016/0378-3758(93)90105-F Web of Science: A1993LM54400009
- 1993
  
  DISCRETE BATHTUB FAILURE RATE AND UPSIDE-DOWN BATHTUB MEAN RESIDUAL LIFE. NAVAL RESEARCH LOGISTICS. 40.
  Full Text via DOI: 10.1002/1520-6750(199304)40:3<361::AID-NAV3220400306>3.0.CO;2-I Web of Science: A1993KQ65700005
- 1991
  
  INTERVAL ESTIMATION OF AVAILABILITY OF A SERIES SYSTEM. IEEE TRANSACTIONS ON RELIABILITY. 40.
  Full Text via DOI: 10.1109/24.106772 Web of Science: A1991GX88800010
Book Chapter
- 2014
  
  Burn‐In and Maintenance Policies
  Full Text via DOI: 10.1002/9781118445112.stat04182
- 2007
  
  Burn‐In and Maintenance Policies
  Full Text via DOI: 10.1002/9780470061572.eqr130
- 2001
  
  INSPECTION-AGE-REPLACEMENT POLICY AND SYSTEM AVAILABILITY. 73-94.
  Full Text via DOI: 10.1142/9789812799548_0005
- 1999
  
  Burn‐In and Screening
  Full Text via DOI: 10.1002/047134608x.w6419
- 1996
  
  Burn-in at the Component and System Level. 53-57.
  Full Text via DOI: 10.1007/978-1-4757-5654-8_8
Conference
- 2005
  
  OPTIMAL BURN-IN PROCEDURES IN A GENERALIZED ENVIRONMENT. 189-201.
  Full Text via DOI: 10.1142/S021853930500177X Web of Science: 000217059300002
- 2004
  
  An extended variational calculus approach to optimal checkpoint placement. 188-194.
- 2004
  
  OPTIMAL BURN-IN PROCEDURES IN A GENERALIZED ENVIRONMENT. 41-48.
  Full Text via DOI: 10.1142/9789812702685_0006
Proceedings Paper
- 2006
  
  Estimating the mean of exponential distribution from step-stress life test data. ADVANCES IN DISTRIBUTION THEORY, ORDER STATISTICS, AND INFERENCE. 307-+.
  Full Text via DOI: 10.1007/0-8176-4487-3_20 Web of Science: 000238122900020
- 2006
  
  Several measures of system availability and their properties. Proceedings of the First International Conference on Maintenance Engineering. 803-814.
  Web of Science: 000243787200121

chaired theses and dissertations

Zhi, Tianchen, Maximum Likelihood Estimation of Parameters in Exponential Power Distribution with Upper Record Values 2017
Wei, Xing, Comparisons of Estimators of Small Proportion under Group Testing 2015
Orjuela, Maria del Pilar, A Study on the Correlation of Bivariate And Trivariate Normal Models 2013
Wang, Xing, Inferences about Parameters of Trivariate Normal Distribution with Missing Data 2013
Luo, Shihua, Bayesian Estimation of Small Proportions Using Binomial Group Test 2012
Shi, Yipin, Study on Bivariate Normal Distribution 2012
Che, Suisui, Study on a Hierarchy Model 2012
Wang, Zeyi, Inference about Reliability Parameter with Underlying Gamma and Exponential Distribution 2011
Bekker, Leonid, Association between mean residual life (MRL) and failure rate functions for continuous and discrete lifetime distributions 2002

full name

Jie Mi

ORCID iD

https://orcid.org/0000-0002-5146-4097 (confirmed)

visualizations

Recent publications and grants in Scholars@FIU

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publication subject areas

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