PERFORM Publications

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Title		Authors	PubMed ID
1	Neural topic modeling on hyperspheres: Spherical representation learning with von Mises-Fisher mixtures	Guo D; Luo Z; Bouguila N; Fan W;	41791177 ENCS
2	Spatio-temporal distribution of AOD and its response to regional energy consumption and air pollution factors in China	Su Y; Chen X; Guo J; Yang A;	41308902 ENCS
3	Disentangled representation learning for multi-view clustering via von Mises-Fisher hyperspherical embedding	Li Z; Luo Z; Bouguila N; Su W; Fan W;	40664160 ENCS
4	No species left behind: borrowing strength to map data-deficient species	Sharma S; Winner K; Pollock LJ; Thorson JT; Mäkinen J; Merow C; Pedersen EJ; Chefira KF; Portmann JM; Iannarilli F; Beery S; de Lutio R; Jetz W;	40571432 BIOLOGY
5	Strategies to Reduce Uncertainties from the Best Available Physicochemical Parameters Used for Modeling Novel Organophosphate Esters across Multimedia Environments	Xing C; Ge J; Chen R; Li S; Wang C; Zhang X; Geng Y; Jones KC; Zhu Y;	40105294 CHEMBIOCHEM
6	Exon junction complexes regulate osteoclast-induced bone resorption by influencing the NFATc1 m6A distribution through the "shield effect"	Sun B; Yang JG; Wang Z; Wang Z; Feng W; Li X; Liu SN; Li J; Zhu YQ; Zhang P; Wang W;	40051055 ENCS
7	Spatial Variations of Atmospheric Alkylated Polycyclic Aromatic Hydrocarbons across the Western Pacific to the Southern Ocean: Unexpected Increasing Deposition	Zhu FJ; Lu XM; Jia JW; Zhang X; Xing DF; Cai MH; Kallenborn R; Li YF; Muir DCG; Zhang ZF; Zhang X;	40025703 CHEMBIOCHEM
8	In Shift and In Variance: Assessing the Robustness of HAR Deep Learning Models Against Variability	Khaked AA; Oishi N; Roggen D; Lago P;	39860799 ENCS
9	Asymmetric autocatalytic reactions and their stationary distribution	Gallinger C; Popovic L;	39679357 MATHSTATS
10	Brain tumor detection based on a novel and high-quality prediction of the tumor pixel distributions	Sun Y; Wang C;	38493601 ENCS
11	The infimum values of two probability functions for the Gamma distribution	Sun P; Hu ZC; Sun W;	38261930 MATHSTATS
12	Unsupervised Mixture Models on the Edge for Smart Energy Consumption Segmentation with Feature Saliency	Al-Bazzaz H; Azam M; Amayri M; Bouguila N;	37837127 ENCS
13	The evolution of plasticity at geographic range edges	Usui T; Lerner D; Eckert I; Angert AL; Garroway CJ; Hargreaves A; Lancaster LT; Lessard JP; Riva F; Schmidt C; van der Burg K; Marshall KE;	37183152 BIOLOGY
14	Tide-induced infiltration and resuspension of microplastics in shorelines: Insights from tidal tank experiments	Feng Q; Chen Z; An C; Yang X; Wang Z;	37084574 ENCS
15	Identifying climate change refugia for South American biodiversity	Sales LP; Pires MM;	36919472 BIOLOGY
16	Human Activity Recognition with an HMM-Based Generative Model	Manouchehri N; Bouguila N;	36772428 ENCS
17	Species compositions mediate biomass conservation: the case of lake fish communities	Arranz I; Fournier B; Lester NP; Shuter BJ; Peres-Neto PR;	34905222 BIOLOGY
18	Bayesian Learning of Shifted-Scaled Dirichlet Mixture Models and Its Application to Early COVID-19 Detection in Chest X-ray Images	Bourouis S; Alharbi A; Bouguila N;	34460578 ENCS
19	Formation of oil-particle aggregates: Impacts of mixing energy and duration	Ji W; Boufadel M; Zhao L; Robinson B; King T; An C; Zhang BH; Lee K;	34252767 ENCS
20	Grape seed extract supplementation along with a restricted-calorie diet improves cardiovascular risk factors in obese or overweight adult individuals: A randomized, placebo-controlled trial.	Yousefi R, Parandoosh M, Khorsandi H, Hosseinzadeh N, Madani Tonekaboni M, Saidpour A, Babaei H, Ghorbani A	33044768 HKAP
21	The Odonata of Quebec: Specimen data from seven collections.	Favret C, Moisan-De Serres J, Larrivée M, Lessard JP	32174757 CONCORDIA
22	Diversity, evolution, and classification of virophages uncovered through global metagenomics.	Paez-Espino D, Zhou J, Roux S, Nayfach S, Pavlopoulos GA, Schulz F, McMahon KD, Walsh D, Woyke T, Ivanova NN, Eloe-Fadrosh EA, Tringe SG, Kyrpides NC	31823797 BIOLOGY
23	Aegilops tauschii Genome Sequence: A Framework for Meta-analysis of Wheat QTLs.	Xu J, Dai X, Ramasamy RK, Wang L, Zhu T, McGuire PE, Jorgensen CM, Dehghani H, Gulick PJ, Luo MC, Müller HG, Dvorak J	30670607 BIOLOGY

Title:	The infimum values of two probability functions for the Gamma distribution
Authors:	Sun P, Hu ZC, Sun W
Link:	https://pubmed.ncbi.nlm.nih.gov/38261930/
DOI:	10.1186/s13660-024-03081-w
Publication:	Journal of inequalities and applications
Keywords:	Gamma distribution; Infimum value; Infinitely divisible distribution; Probability inequality;
PMID:	38261930	Category:	Date Added:	2024-01-23
Dept Affiliation:	MATHSTATS 1 Business School, Chengdu University, Chengdu, 610106 China. 2 College of Mathematics, Sichuan University, Chengdu, 610065 China. 3 Department of Mathematics and Statistics, Concordia University, Montreal, H3G 1M8 Canada.

Description:

Let a, ß be positive real numbers and let $X_{α, β}$ be a Gamma random variable with shape parameter a and scale parameter ß. We study infimum values of the function $(α, β) \mapsto P {X_{α, β} \leq κ E [X_{α, β}]}$ for any fixed $κ > 0$ and the function $(α, β) \mapsto P {| X_{α, β} - E [X_{α, β}] | \leq \sqrt{Var (X_{α, β})}}$ . We show that ${inf}_{α, β} P {X_{α, β} \leq E [X_{α, β}]} = \frac{1}{2}$ and ${inf}_{α, β} P {| X_{α, β} - E [X_{α, β}] | \leq \sqrt{Var (X_{α, β})}} = P {| Z | \leq 1} \approx 0.6827$ , where Z is a standard normal random variable.

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