On the Exponential Convergence Rate of the Distribution for some Nonregenerative Reliability System

被引：0

作者：

Zverkina G.A. ^{[1
,2
]}

机构：

[1] Moscow State University of Railway Engineering (MIIT), Moscow

[2] V. A. Trapeznikov Institute of Control Sciences of the Russian Academy of Sciences, Moscow

来源：

Journal of Mathematical Sciences | 2022年 / 262卷 / 4期

关键词：

D O I：

10.1007/s10958-022-05830-y

中图分类号：

学科分类号：

摘要：

Exponential upper bounds for the convergence rate of the distribution of restorable element with partially energized standby redundancy are found, in the case where all working and repair times are bounded by an exponential random variable (upper and lower), and working and repair times can be dependent. The convergence rate of the availability factor is estimated. © 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

引用

页码：493 / 503

页数：10

共 50 条

[1] Exponential rate of convergence for some Markov operators
Wojewodka, H.
[J]. STATISTICS & PROBABILITY LETTERS, 2013, 83 (10) : 2337 - 2347
[2] EXPONENTIAL RATE OF CONVERGENCE OF DISTRIBUTION OF MAXIMUM OF A RANDOM-WALK
VERAVERBEKE, N
TEUGELS, JL
[J]. JOURNAL OF APPLIED PROBABILITY, 1975, 12 (02) : 279 - 288
[3] Exponential Convergence to the Maxwell Distribution for Some Class of Boltzmann Equations
Froehlich, Juerg
Gang, Zhou
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2012, 314 (02) : 525 - 554
[4] Exponential Convergence to the Maxwell Distribution for Some Class of Boltzmann Equations
Jürg Fröhlich
Zhou Gang
[J]. Communications in Mathematical Physics, 2012, 314 : 525 - 554
[5] An efficient exponential algorithm with exponential convergence rate
Chen, CC
Cheng, KS
[J]. PROCEEDINGS OF THE EUROMICRO SYSTEMS ON DIGITAL SYSTEM DESIGN, 2004, : 548 - 555
[6] Exponential convergence rate in entropy
Chen M.-F.
[J]. Frontiers of Mathematics in China, 2007, 2 (3) : 329 - 358
[7] Characterizations of the Exponential Distribution by Some Random Hazard Rate Sequences
Shrahili, Mansour
Kayid, Mohamed
[J]. MATHEMATICS, 2022, 10 (17)
[8] EXPONENTIAL RATE OF CONVERGENCE OF DISTRIBUTION OF MAXIMUM OF A RANDOM-WALK .2.
VERAVERBEKE, N
TEUGELS, JL
[J]. JOURNAL OF APPLIED PROBABILITY, 1976, 13 (04) : 733 - 740
[9] Fuzzy Bayesian system reliability assessment based on exponential distribution
Wu, HC
[J]. APPLIED MATHEMATICAL MODELLING, 2006, 30 (06) : 509 - 530
[10] Estimating the Reliability for the Sequential System of Two Truncated Exponential Distribution
Sabti, Aseel Nasser
Ansseif, Ansseif A. Latif
Shakir, Aseel Mahmood
[J]. INDUSTRIAL ENGINEERING AND MANAGEMENT SYSTEMS, 2021, 20 (03): : 455 - 463

← 1 2 3 4 5 →