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(
[id] => 7816
[paper_index] => EW201904-01-002769
[title] => FORMULATION OF CUMULATIVE INTERVALS AS A MEASURE OF RELIABILITY FOR THE ASSESSMENT OF SAMPLE MEAN BEHAVIOUR.
[description] =>
- Abundo, M. (2002). Some Conditional Crossing Results of Brownian Motion Over a Piecewise-Linear Boundary. Statistics and Probability Letters, 58 (2), 131–145.
- Atkinson, M. P. & Singham, D. I. (2015). Multidimensional Hitting Time Re- sults for Brownian Bridges with Moving a Hyoerolanar Boundaries. Statistics and Probability Letters, 100, 85–92.
- Scheike, T. H. (1992). A Boundry-Crossing Results for Brownian Motion. Journal of Applied Probability, 29 (2), 448–453.
- Schruben, L. (1982). Confidence Interval Estimation Using Time Series. Opera- tions Research, 36 (6), 1090–1106.
- Singham, D. I. & Atkinson, M. P. (2014). Estimating Cumulative Mean Behavior Using Standardized Time Series.
- Singham, D. I. & Atkinson, M. P. (2015). Construction of Cumulative Mean Bounds for Simulation Output Analysis.
[author] => Peter O. Peter
[googlescholar] => https://scholar.google.co.in/citations?user=KeqZGcIAAAAJ&hl=en
[doi] =>
[year] => 2019
[month] => April
[volume] => 7
[issue] => 4
[file] => eprapub/EW201904-01-002769.pdf
[abstract] => We propose a new measure of reliability, called the cumulative mean intervals, that assesses the mean behaviour of a process by computing the probability that the cumulative sample mean will remain below its long-term sample mean with a given tolerance over a period of time. We further derive a lower bound for the measure when the underlying data is independent and identically distributed with a normal distribution. This deduction provides a preliminary basis for parallel extensions to the two limiting case when we compute the probability that the sample mean stays within a given distance from the true mean with no assumptions made on independence and normality.
KEYWORDS: cumulative mean, probability, reliability, intervals, sample mean.
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[status] =>
[award_status] => P
[orderr] => 4
[journal_id] => 4
[googlesearch_link] =>
[edit_on] =>
[is_status] => 1
[journalname] => EPRA International Journal of Economic and Business Review(JEBR)
[short_code] => IJES
[eissn] => 2347-9671 (O), 2349-0187(P)
[pissn] =>
[home_page_wrapper] => images/products_image/12.JEBR.png
)
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