Estimation of $$P[Y&lt;Z]$$ under Geometric-Lindley model

Singh, Bhupal; Nayal, Amit Singh; Tyagi, Abhishek

doi:10.1007/s11587-022-00753-x

Cited by 5 publications

(3 citation statements)

References 24 publications

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“…[12] proposed a group sequential method for estimating the Mann-Whitney parameter. [13] studied the estimator of p in point, interval, and Bayesian estimations when the stress valiables follow geometric and Lindley distribution. All the methods assumed that T 1 and T 2 are independent.…”

Section: Introductionmentioning

confidence: 99%

Computation of The Mann-Whitney Effect under Parametric Survival Copula Models

Nakazono,

Lin,

Liao

et al. 2024

Preprint

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The Mann-Whitney effect is a measure for comparing survival distributions between two groups. The Mann-Whitney effect is interpreted as the probability that a randomly selected subject in a group survives longer than a randomly selected subject in the other group. Under the independence assumption of two groups, the Mann-Whitney effect can be expressed as the traditional integral formula of survival functions. However, when the survival times in two groups are not independent each other, the traditional expression of the Mann-Whitney effect has to be modified. In this article, we propose a copula-based approach to compute the Mann-Witney effect with parametric survival models under dependence of two groups, which may arise in the potential outcome framework. In addition, we develop a Shiny web app that can implement the proposed method via simple commands (https://nkosuke.shinyapps.io/shiny_survival/). Through a simulation study, we show the correctness of the proposed calculator. We apply the proposed methods to two real datasets.

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Section: Introductionmentioning

confidence: 99%

Computation of The Mann-Whitney Effect under Parametric Survival Copula Models

Nakazono,

Lin,

Liao

et al. 2024

Preprint

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“…Nowak et al [13] proposed a group sequential method for estimating the Mann-Whitney parameter. Singh et al [14] studied the estimator of p in point, interval, and Bayesian estimations when the stress variables follow geometric and Lindley distribution. All the methods assumed that T 1 and T 2 are independent.…”

Section: Introductionmentioning

confidence: 99%

Computation of the Mann–Whitney Effect under Parametric Survival Copula Models

Nakazono,

Lin,

Liao

et al. 2024

Mathematics

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The Mann–Whitney effect is a measure for comparing survival distributions between two groups. The Mann–Whitney effect is interpreted as the probability that a randomly selected subject in a group survives longer than a randomly selected subject in the other group. Under the independence assumption of two groups, the Mann–Whitney effect can be expressed as the traditional integral formula of survival functions. However, when the survival times in two groups are not independent of each other, the traditional formula of the Mann–Whitney effect has to be modified. In this article, we propose a copula-based approach to compute the Mann–Whitney effect with parametric survival models under dependence of two groups, which may arise in the potential outcome framework. In addition, we develop a Shiny web app that can implement the proposed method via simple commands . Through a simulation study, we show the correctness of the proposed calculator. We apply the proposed methods to two real datasets.

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“…Some more compounds contains pyrazolo[3,4‐ b ]pyridine acting as pesticides and fungicides. [ 17–19 ] Trifluoromethyl group at strategic position on molecule can enhance the biological properties. Based on the importance, we introduced trifluoromethyl group to pyrazolo[3,4‐ b ]pyridine core moiety.…”

Section: Introductionmentioning

confidence: 99%

Synthesis of novel amide/amino acid functionalized pyrazolo[3,4‐b]pyridine derivatives; their anticancer activity and docking studies

Bhukya

Korra

Guguloth

2023

Journal of Heterocyclic Chem

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A series of novel pyrazolo[3,4‐b]pyridine amide/amino acid functionalized derivatives 5a–h, 6a–d, and 7a, 7b were synthesized, respectively, from 6‐thiophenyl‐4‐(trifluoromethyl)‐1H‐pyrazolo[3,4‐b]pyridin‐3‐amine 1. Compound 1 reacted with chloroacetamide in the presence of K2CO3 to form compound 2 (O‐tagged acetamide derivative), compound 2 on reaction with hydrazine hydrate in refluxing condition to afford cyclized pyrazolopyridine derivatives 3, compound 3 on reaction with bromoethyl acetate to get ester derivative of pyrazolopyridine 4, compound 4 on reaction with different primary amines and amino acids like (aliphatic amines, cyclic secondary amines, or L‐amino acids) under different set of conditions to obtain title compounds. All the final synthesized compounds 5a–h, 6a–d, and 7a, 7b were screened for anticancer activity against four cancer cell lines, such as ‘A549—Lung cancer (CCL‐185), MCF7—Breast cancer (HTB‐22), DU145—Prostate cancer (HTB‐81), and HeLa—Cervical cancer(CCL‐2)’ promising 5c, 5e, and 5h compounds have been identified. For compounds 5c, 5e, and 5h molecular docking interactions have been identified.

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Estimation of $$P[Y<Z]$$ under Geometric-Lindley model

Cited by 5 publications

References 24 publications

Computation of The Mann-Whitney Effect under Parametric Survival Copula Models

Computation of The Mann-Whitney Effect under Parametric Survival Copula Models

Computation of the Mann–Whitney Effect under Parametric Survival Copula Models

Synthesis of novel amide/amino acid functionalized pyrazolo[3,4‐b]pyridine derivatives; their anticancer activity and docking studies

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