1 citations · 1 across the 10 of their papers we have counts for
10 papers
Combinatorial proofs of some identities on overpartitions with repeated smallest non-overlined part
Nayandeep Deka Baruah, Haijun Li, Pankaj Jyoti Mahanta
Let denote the number of overpartitions of where the smallest non-overlined part, say , appears times and every overlined part is bigger…
Operator Tail Densities of Multivariate Copulas
Haijun Li
Operator regular variation of a multivariate distribution can be decomposed into the operator tail dependence of the underlying copula and the regular variation of the univariate m…
Sequences of odd length in strict partitions IV: the combinatorics of parameterized Rogers-Ramanujan type identities
Haijun Li
In the first three papers, we conducted a series of discussions on the statistics of strict partitions and Rogers-Ramanujan partitions, specifically the sequences of odd length (de…
The combinatorics of identities involving overpartitions with distinct parts
Haijun Li
Recently, Andrews and EI Bachraoui discovered several companions for some famous -series formulas, and derived some new identities involving partitions and overpartitions with d…
Toward a Hazard Rate Framework for Regular and Rapid Variation
Haijun Li
Regular and rapid variation have been extensively studied in the literature and applied across various fields, particularly in extreme value theory. In this paper, we examine regul…
Tail Dependence of Multivariate Archimedean Copulas
Haijun Li
Archimedean copulas generated by Laplace transforms have been extensively studied in the literature, with much of the focus on tail dependence limited only to cases where the Lapla…
Operator Regular Variation of Multivariate Liouville Distributions
Haijun Li
Operator regular variation reveals general power-law distribution tail decay phenomena using operator scaling, that includes multivariate regular variation with scalar scaling as a…
On Rapid Variation of Multivariate Probability Densities
Haijun Li
Multivariate rapid variation describes decay rates of joint light tails of a multivariate distribution. We impose a local uniformity condition to control decay variation of distrib…
Tail Densities of Skew-Elliptical Distributions
Harry Joe, Haijun Li
Skew-elliptical distributions constitute a large class of multivariate distributions that account for both skewness and a variety of tail properties. This class has simpler represe…
Operator Tail Dependence of Copulas
Haijun Li
A notion of tail dependence based on operator regular variation is introduced for copulas, and the standard tail dependence used in the copula literature is included as a special c…