Return
Studentized bootstrap control chart for percentiles of truncated beta distributed environmental data
10.1007/s00477-026-03199-x
2026-02-28
0
PRE
AI
Abstract
En 中文
This paper proposes a control chart for monitoring percentiles of a process that follows a truncated beta distribution, utilizing a studentized parametric bootstrap method to account for the case when in-control parameters are unknown. To evaluate the in-control performance, extensive Monte Carlo simulations are conducted across various combinations of percentiles, false alarm rates, and sample sizes, with performance measured in terms of the average run length. The out-of-control performance is thoroughly assessed by introducing shifts in the distributional parameters and comparing the proposed chart with the conventional beta-based chart. The effectiveness and practical applicability of the proposed chart is illustrated through real-world examples from environmental data.
Keywords:
Average run length
Control chart
False alarm rate
Percentile
Relative humidity
Studentized bootstrap
Truncated beta distribution
Journal
IF:
3.6
Papers: 3.4K
・
Citations: 6.9K
Researchers
B
Bidhan Modok
H-index:
2
Papers: 8
・
Citations: 20
A
Amarjit Kundu
H-index:
8
Papers: 45
・
Citations: 217
S
Shovan Chowdhury
H-index:
12
Papers: 77
・
Citations: 601
Organization
M
mathematics
Scholars:
913
Papers: 533
・
Citations: 0
I
indian institute of management
Scholars:
140
Papers: 113
・
Citations: 0
Cited Papers