Sequential probability ratio test for skew normal distribution

Opperman, Logan; Ning, Wei

doi:10.1080/03610918.2019.1614623

Cited by 6 publications

(3 citation statements)

References 12 publications

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“…Sequential probability ratio test (SPRT) treats the sample size for a particular procedure and aims to make it as small as possible and still make a decision. The ability to potentially reduce the sample size required to make a decision in an experiment has numerous applications because it leads to the conserving of resources, making funding easier to appropriate, Sequential probability ratio test was an extension of single and double sampling plan that determine the minimum number of observations required to terminate a sample, Opperman and Ning, (2019). Assign formulas for the construction and evaluation of sequential plans values of 1, 2, pp and β have derived by Wald (1947) andStatistical Research Group (1945) which are as follows:…”

Section: Sequential Probability Ratio Test For Maxwell and Exponentia...mentioning

confidence: 99%

On Performance of Acceptance Sampling Plans Using Sequential Probability Ratio Test Based on Truncated Life Tests Using Some Distribution Function

Zoramawa

DAURAN²,

USMAN³

et al. 2023

FJS

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Sequential sampling procedure constitute a powerful tool to achieve experimental efficiency a sequence of sample are taken from the lot and allow the number of samples to be determined entirely by the result of the sampling process, it forms the basis of numerous sequential technique for different applications which was the special case for multiple acceptance plans, the performance of sequential probability ratio test provides better detection for a wide range of source strength and useful in choosing the best statistical test, which take less time to make decision, was developed on the software reliability measure based on failure intensity for the life time random variable for a truncated life test. In this paper, we considered the performance of acceptance sampling plans using sequential probability ration (SPRT) based on truncated life tests on Maxwell distribution and exponential distribution function in terms of obtaining the minimum number of sample sizes necessary to obtain specified average life time under a given consumer’s and producer’s risk. The SPRT provide an alternative to fix the plans that can help diminish producer and consumer risk of reaching at a wrong decision.

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Section: Sequential Probability Ratio Test For Maxwell and Exponentia...mentioning

confidence: 99%

On Performance of Acceptance Sampling Plans Using Sequential Probability Ratio Test Based on Truncated Life Tests Using Some Distribution Function

Zoramawa

DAURAN²,

USMAN³

et al. 2023

FJS

View full text Add to dashboard Cite

show abstract

“…Here, optimal means minimizing the expected response time (also called sample size) for a fixed upper bound on the probability of error δ (usually δ = .05). However, having an optimal decision test for unknown parameters even under the normality assumption is challenging: most available solutions are only approximate or asymptotically optimal [15,42]. Without an ideal test, we compared human response times to approximations of optimal times computed with automated decision procedures, which we describe in Sect.…”

Section: Measures and Hypothesesmentioning

confidence: 99%

Studying Early Decision Making with Progressive Bar Charts

Patil

Richer

Jermaine

et al. 2022

IEEE Trans. Visual. Comput. Graphics

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We conduct a user study to quantify and compare user performance for a value comparison task using four bar chart designs, where the bars show the mean values of data loaded progressively and updated every second (progressive bar charts). Progressive visualization divides different stages of the visualization pipeline-data loading, processing, and visualization-into iterative animated steps to limit the latency when loading large amounts of data. An animated visualization appearing quickly, unfolding, and getting more accurate with time, enables users to make early decisions. However, intermediate mean estimates are computed only on partial data and may not have time to converge to the true means, potentially misleading users and resulting in incorrect decisions. To address this issue, we propose two new designs visualizing the history of values in progressive bar charts, in addition to the use of confidence intervals. We comparatively study four progressive bar chart designs: with/without confidence intervals, and using near-history representation with/without confidence intervals, on three realistic data distributions. We evaluate user performance based on the percentage of correct answers (accuracy), response time, and user confidence. Our results show that, overall, users can make early and accurate decisions with 92% accuracy using only 18% of the data, regardless of the design. We find that our proposed bar chart design with only near-history is comparable to bar charts with only confidence intervals in performance, and the qualitative feedback we received indicates a preference for designs with history.

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“…Hence Sequential Analysis of Statistical Science could be adopted to decide upon the reliability or otherwise of the developed software very quickly. Generally, The ability to potentially reduce the sample size required to make a decision in an experiment has numerous applications because it leads to the conserving of resources, making funding easier to appropriate [12].…”

Section: Introductionmentioning

confidence: 99%

On Sequential Probability Sampling Plan for a Truncated Life Tests Using Rayleigh Distribution

Zoramawa

Gulumbe

2021

AJPAS

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This paper proposed a sequential probability sampling plan for a truncated life test using a Rayleigh distribution from a designed double sampling plans where the interest was to obtain the minimum sample size necessary to assure that the average life time of a product is longer than the default life time at the specified consumer’s and producer’s confidence level. Estimations of minimum sample, acceptance and rejection numbers obtained are analyzed and presented to explain the usefulness of sequential plans in relation to single and double sampling plan. Probability of acceptance (Pa), Average sample number (ASN) and Average outgoing quality (AOQ) for the plans are computed. The three regions; acceptance, continue sampling and rejection were determined. The five points necessary to plot ASN curve were also computed and presented.

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Sequential probability ratio test for skew normal distribution

Cited by 6 publications

References 12 publications

On Performance of Acceptance Sampling Plans Using Sequential Probability Ratio Test Based on Truncated Life Tests Using Some Distribution Function

On Performance of Acceptance Sampling Plans Using Sequential Probability Ratio Test Based on Truncated Life Tests Using Some Distribution Function

Studying Early Decision Making with Progressive Bar Charts

On Sequential Probability Sampling Plan for a Truncated Life Tests Using Rayleigh Distribution

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