On combining independent tests in case of conditional normal distribution

Al-Talib, Mohammad; Kadiri, Mohammad Al; Al-Masri, Abedel-Qader

doi:10.1080/03610926.2019.1621343

Cited by 3 publications

(1 citation statement)

References 9 publications

(7 reference statements)

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“…He showed under conditional shifted Exponential distribution that the inverse normal method is the best among six combination methods. Al-Talib et al (2020) considered combining independent tests in case of conditional normal distribution with probability density function X|θ ∼ N (γθ), θ ∈ [a, ∞], a ≥ 0 when θ 1 , θ 2 , . .…”

Section: Introductionmentioning

confidence: 99%

Bahadur’s Stochastic Comparison of Combining infinitely Independent Tests in Case of Extreme Value Distribution

Al-Masri

Al-Momani²

2022

Rev. colomb. estad.

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For simple null hypothesis, given any non-parametric combination method which has a monotone increasing acceptance region, there exists a problem for which this method is most powerful against some alternative. Starting from this perspective and recasting each method of combining pvalues as a likelihood ratio test, we present theoretical results for some of the standard combiners which provide guidance about how a powerful combiner might be chosen in practice. In this paper we consider the problem of combining n independent tests as n → ∞ for testing a simple hypothesis in case of extreme value distribution (EV(θ,1)). We study the six free-distribution combination test producers namely; Fisher, logistic, sum of p-values, inverse normal, Tippett’s method and maximum of p-values. Moreover, we studying the behavior of these tests via the exact Bahadur slope. The limits of the ratios of every pair of these slopes are discussed as the parameter θ → 0 and θ → ∞. As θ → 0, the logistic procedure is better than all other methods, followed in decreasing order by the inverse normal, the sum of p-values, Fisher, maximum of p-values and Tippett’s procedure. Whereas, θ → ∞ the logistic and the sum of p-values procedures are equivalent and better than all other methods, followed in decreasing order by Fisher, the inverse normal, maximum of p-values and Tippett’s procedure.

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Section: Introductionmentioning

confidence: 99%

Bahadur’s Stochastic Comparison of Combining infinitely Independent Tests in Case of Extreme Value Distribution

Al-Masri

Al-Momani²

2022

Rev. colomb. estad.

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Exact Bahadur Slope for combining independent tests in the case of the Pareto distribution

Al-Momani,

Ghanim,

Al-Janaby

2024

Heliyon

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Quantitative analysis of oxygen partial pressure measurements based on photoacoustic pump-probe imaging

He,

Xiao,

et al. 2023

Acta Phys. Sin.

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Pump-probe-based Photoacoustic imaging is an innovative technique for high-specificity molecular imaging in deep tissues. In comparison to conventional photoacoustic imaging, this method effectively eliminates the interference from blood and other background signals, enabling the detection of subtle target molecules. Additionally, by manipulating the time delay between the pump and probe lasers, it facilitates non-invasive mapping of oxygen partial pressure distribution within tissues. To quantify the photoacoustic pump-probe imaging, we employed methylene blue as the molecular probe to monitor changes in oxygen partial pressure within a hemoglobin solution. Utilizing a Gaussian noise model, we investigated the relationship between the stability of the triplet-state difference signal and the average number, and also evaluated the error associated with measuring oxygen partial pressure. The results demonstrated that under the condition of 200 averages, the system achieved a detection accuracy superior to 33 mmHg within the oxygen partial pressure range of approximately 300 to 550 mmHg. This research will play a significant role in guiding the further advancement and application of pump-probe-based photoacoustic imaging technology.

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On combining independent tests in case of conditional normal distribution

Cited by 3 publications

References 9 publications

Bahadur’s Stochastic Comparison of Combining infinitely Independent Tests in Case of Extreme Value Distribution

Bahadur’s Stochastic Comparison of Combining infinitely Independent Tests in Case of Extreme Value Distribution

Exact Bahadur Slope for combining independent tests in the case of the Pareto distribution

Quantitative analysis of oxygen partial pressure measurements based on photoacoustic pump-probe imaging

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