Martial Longla

Associate Professor of Mathematics

Martial Longla

Dr. Longla is an Associate Professor of Mathematics in the Department of Mathematics at the University of Mississippi.

Research Interests

Dr. Longla's research interets include:

  • Distributions
  • Probability theory
  • Statistics
  • Dependence modelling
  • Applications of statistics

Biography

Dr. Longla was born in 1978 in Mbouda, small city in the west Province of Cameroon. He spent 6 years at the public primary school "Ecole Publique Bamessingue Ville", then 7 years at the public high school "Lycee Bilingue de Mbouda" from which he graduated valedictorian in 1997. After a year at the University of Yaounde I, Dr. Longla was awarded a scholarship to further his education in Russia. Dr. Longla received several diplomas at the Peoples' Friendship University of Russia: Teacher of Russian as foreign Language, interpreter/translator with 3 languages (French, Russian, English) with honors, Bachelor of Sciences and Master of sciences in Mathematics, and several University and city awards for his leadership in the fight for students rights and promotion of African culture. Dr. Longla also performed as comedian with some of the most popular Russian artists.

Dr. Longla completed a PhD program in Moscow on Optimal control problems in infinite dimensional spaces in 2008 and moved to the University of Cincinnati where he engaged in a PhD program in Probability and Statistics. Dr. Longla received a Master of Sciences in Statistics in 2010 and a PhD in mathematics in 2013. His dissertation was on "Modelling dependence and limit theorems for copula-based Markov chains". Dr Longla has been supported by the NSF (through his adviser Dr. Madga Peligrad), The Laws fellowship, the University Research council and the Taft center at the University of Cincinnati. Dr. Longla was recognized as outstanding beginning doctoral student, best graduate student poster presenter and others. Dr. Longla joined the Department of Mathematics at the University of Mississippi in August 2013. During his time at the University of Mississippi, Dr. Longla has published several papers on topics such as copulas, dependence coefficients, central limit theorems for depending data and Bayesian analysis. He was actively invested in providing neutral analysis of political issues in Cameroon through an internet Radio until the program shut down and is currently periodically publishing in a Cameroun newspaper (Quotidien Le Jour).

Dr. Longla's dream is to see more Africans from remote areas, usually underrepresented among college graduate, get more involved in STEM disciplines. That's why he has founded and runs "Hope Bamboutos", a charity that pursues this cause. Dr. Longla is interested in interdisciplinary collaboration and is eager to offer his expertise to fellows in applied fields of research. He has received 4 summer research grants for his first 5 years at Olemiss. Promote to the rank of Associate professor of Mathematics in 2018, he was on sabbatical for the Spring semester of 2019/2020. The Sabbatical stay in Cameroon resulted in a lecture series at the ENS of the University of Yaounde I and at least 3 research papers with collaboration from the University of Yaounde I and the University of Maroua. During his sabbatical project he got acquainted with the procedures in his home country and accepted PhD students from the University of Yaounde I. As of June 2022, He is working with 6 PhD students: Muia Mathias Nthiani (Olemiss), Djongreba Ndikwa Fidel (University of Maroua) and Mous-Abou Hamadou (University of Maroua), Sahifa Siddiqua (Olemiss).

Publications

Selected Publications:

Longla, 2026, Copulas, m-dependence, and Markov chains, TEST, 1-34

MA Hamadou, M Longla 2026: An Extension of the d-Variate FGM Copula with Application, REVSTAT

M Longla, MA Hamadou 2025: Estimation problems for some perturbations of the independence copula, Statistical Papers 66 (7), 156

M Longla, S Siddiqua 2025: Comparative Study of Estimation Methods for a New Family of Copula-Based Reversible Markov Chains, Mathematics 13 (22), 3661

M Muia, M Longla 2025: A point on discrete versus continuous state-space Markov chains, Dependence Modeling 13 (1), 20250015

M Longla 2025: Continuous exchangeable Markov chains, idempotent and 1-dependent copulas, Mathematics 13 (12), 2034

M Longla 2025: Chapter 1. On estimation problems based on type I Longla copulas In Handbook of Statistics 52, 3-28

M Longla 2024: New copula families and mixing properties: M. Longla, Statistical papers 65 (7), 4331-4363

Courses Taught

  • Math 2612 Unified Calculus & Analytic Geometry II
  • Math 2613 Unified Calculus & Analytic Geometry III
  • Math 2614 Unified Calculus & Analytic Geometry IV
  • Math 3530 Elementary Differential Equations
  • Math 3750 Introduction to Statistics I
  • Math 5730 Applied Probability
  • Math 5351 Mathematical Statistics I
  • Math 7770 Seminar in Statistics

Education

Ph.D. Mathematics, University of Cincinnati (2013)