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  1. Applied Mathematics-A Journal of Chinese Universities
  2. Applied Mathematics-A Journal of Chinese Universities : Volume 30
  3. Applied Mathematics-A Journal of Chinese Universities : Volume 30, Issue 4, December 2015
  4. Control charts for the Pareto distribution
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Applied Mathematics-A Journal of Chinese Universities : Volume 32
Applied Mathematics-A Journal of Chinese Universities : Volume 31
Applied Mathematics-A Journal of Chinese Universities : Volume 30
Applied Mathematics-A Journal of Chinese Universities : Volume 30, Issue 4, December 2015
Control charts for the Pareto distribution
Total duration of negative surplus for a MAP risk model
Risk measures with comonotonic subadditivity or convexity on product spaces
Triebel-Lizorkin space boundedness of Marcinkiewicz integrals associated to surfaces
Inhomogeneous Cauchy-Riemann equation in Octonion space
Existence and asymptotic behavior for systems of nonlinear hyperbolic equations
Maximum modulus principle estimates for one dimensional fractional diffusion equation
Some additive results on Drazin inverse
On Ding homological dimensions
Applied Mathematics-A Journal of Chinese Universities : Volume 30, Issue 3, September 2015
Applied Mathematics-A Journal of Chinese Universities : Volume 30, Issue 2, June 2015
Applied Mathematics-A Journal of Chinese Universities : Volume 30, Issue 1, March 2015
Applied Mathematics-A Journal of Chinese Universities : Volume 29
Applied Mathematics-A Journal of Chinese Universities : Volume 28
Applied Mathematics-A Journal of Chinese Universities : Volume 27
Applied Mathematics-A Journal of Chinese Universities : Volume 26
Applied Mathematics-A Journal of Chinese Universities : Volume 25
Applied Mathematics-A Journal of Chinese Universities : Volume 24
Applied Mathematics-A Journal of Chinese Universities : Volume 23
Applied Mathematics-A Journal of Chinese Universities : Volume 22
Applied Mathematics-A Journal of Chinese Universities : Volume 21
Applied Mathematics-A Journal of Chinese Universities : Volume 20
Applied Mathematics-A Journal of Chinese Universities : Volume 19
Applied Mathematics-A Journal of Chinese Universities : Volume 18
Applied Mathematics-A Journal of Chinese Universities : Volume 17
Applied Mathematics-A Journal of Chinese Universities : Volume 16
Applied Mathematics-A Journal of Chinese Universities : Volume 15
Applied Mathematics-A Journal of Chinese Universities : Volume 14
Applied Mathematics-A Journal of Chinese Universities : Volume 13
Applied Mathematics-A Journal of Chinese Universities : Volume 12

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Control charts for the Pareto distribution

Content Provider Springer Nature Link
Author Guo, Bao cai Wang, Bing xing
Copyright Year 2015
Abstract The Pareto distribution plays an important role in various areas of research. In this paper, the average run length (ARL) unbiased control charts, which monitor the shape and threshold parameters of the Pareto distribution respectively, are proposed when the incontrol parameters are known. The effects of parameter estimation on the performance of the proposed control charts are also studied. Results show that the control charts with the estimated parameters are not suitable to be used in the known parameter case, thus the ARL-unbiased control charts for the shape and threshold parameters with the desired ARL $_{0}$, which consider the variability of the parameter estimates, are further developed. The performance of the proposed control charts is investigated in terms of the ARL. Finally, an example is given to illustrate the proposed control charts.
Starting Page 379
Ending Page 396
Page Count 18
File Format PDF
ISSN 10051031
Journal Applied Mathematics-A Journal of Chinese Universities
Volume Number 30
Issue Number 4
e-ISSN 19930445
Language English
Publisher Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
Publisher Date 2015-12-15
Publisher Place Hangzhou
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Pareto distribution average run length process control unbiased control chart Mathematics Applications of Mathematics
Content Type Text
Resource Type Article
Subject Applied Mathematics
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