A study on the $F$-distribution motivated by Chv\'{a}tal's theorem

Autor: Zhou, Qianqian, Lu, Peng, Hu, Zechun

Let $X_{d_1, d_2}$ be an $F$-random variable with parameters $d_1$ and $d_2,$ and expectation $E[X_{d_1, d_2}]$. In this paper, for any $\kappa>0,$ we investigate the infimum value of the probability $P(X_{d_1, d_2}\leq \kappa E[X_{d_1, d_2}])$. Our

Externí odkaz: http://arxiv.org/abs/2409.09420

Digital communication between mothers and community health workers to support neonatal health (CHV-NEO): study protocol for a randomized controlled trial.

Autor: Ronen, Keshet¹ (AUTHOR) keshet@uw.edu, Pothan, Lincoln C.¹ (AUTHOR), Apondi, Violet² (AUTHOR), Otieno, Felix A.² (AUTHOR), Mwakanema, Daniel³ (AUTHOR), Otieno, Felix O.² (AUTHOR), Osborn, Lusi² (AUTHOR), Dettinger, Julia C.¹ (AUTHOR), Shrestha, Priyanka¹ (AUTHOR), Manguerra, Helena¹ (AUTHOR), Mukumbang, Ferdinand¹ (AUTHOR), Masinde, Millicent⁴ (AUTHOR), Waweru, Evelyn⁵ (AUTHOR), Amulele, Mercy⁵ (AUTHOR), Were, Christine⁵ (AUTHOR), Wasunna, Beatrice⁵ (AUTHOR), John-Stewart, Grace^1,6,7,8 (AUTHOR), Weiner, Bryan¹ (AUTHOR), Means, Arianna Rubin¹ (AUTHOR), Richardson, Barbra A.^1,9 (AUTHOR)

Publikováno v: Trials. 10/4/2024, Vol. 25 Issue 1, p1-15. 15p.

A study on the negative binomial distribution motivated by Chv\'atal's theorem

Autor: Guo, Zheng-Yan, Tao, Ze-Yu, Hu, Ze-Chun

Let $B(n,p)$ denote a binomial random variable with parameters $n$ and $p$. Chv\'{a}tal's theorem says that for any fixed $n\geq 2$, as $m$ ranges over $\{0,\ldots,n\}$, the probability $q_m:=P(B(n,m/n)\leq m)$ is the smallest when $m$ is closest to

Externí odkaz: http://arxiv.org/abs/2311.06877

The infimum values of the probability functions for some infinitely divisible distributions motivated by Chv\'{a}tal's theorem

Autor: Hu, Ze-Chun, Lu, Peng, Zhou, Qian-Qian, Zhou, Xing-Wang

Let $B(n,p)$ denote a binomial random variable with parameters $n$ and $p$. Chv\'{a}tal's theorem says that for any fixed $n\geq 2$, as $m$ ranges over $\{0,\ldots,n\}$, the probability $q_m:=P(B(n,m/n)\leq m)$ is the smallest when $m$ is closest to

Externí odkaz: http://arxiv.org/abs/2308.07678

Digital communication between mothers and community health workers to support neonatal health (CHV-NEO): study protocol for a randomized controlled trial

Autor: Keshet Ronen, Lincoln C. Pothan, Violet Apondi, Felix A. Otieno, Daniel Mwakanema, Felix O. Otieno, Lusi Osborn, Julia C. Dettinger, Priyanka Shrestha, Helena Manguerra, Ferdinand Mukumbang, Millicent Masinde, Evelyn Waweru, Mercy Amulele, Christine Were, Beatrice Wasunna, Grace John-Stewart, Bryan Weiner, Arianna Rubin Means, Barbra A. Richardson, Anna B. Hedstrom, Jennifer A. Unger, John Kinuthia

Publikováno v: Trials, Vol 25, Iss 1, Pp 1-15 (2024)

Abstract Background Provision of essential newborn care at home, rapid identification of illness, and care-seeking by caregivers can prevent neonatal mortality. Mobile technology can connect caregivers with information and healthcare worker advice mo

Externí odkaz: https://doaj.org/article/1ab514e247c248beaa6be70f6aad4608