Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Debapratim Banerjee"'
Autor:
Debapratim Banerjee, Zongming Ma
Publikováno v:
The Annals of Statistics. 50
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::77b35498efe77ea606ada490d59149b4
https://doi.org/10.1214/21-aos2150
https://doi.org/10.1214/21-aos2150
Autor:
Debapratim Banerjee
Publikováno v:
Journal of Statistical Physics. 178:211-246
We consider a spin system with pure two spin Sherrington-Kirkpatrick Hamiltonian with Curie-Weiss interaction. The model where the spins are spherically symmetric was considered by \citet{Baiklee16} and \citet{Baikleewu18} which shows a two dimension
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c234b3570a112b1c562d19fe74eb8bc5
https://doi.org/10.1007/s10955-019-02428-8
https://doi.org/10.1007/s10955-019-02428-8
Publikováno v:
Bernoulli 27, no. 1 (2021), 192-217
Central limit theorems (CLTs) for high-dimensional random vectors with dimension possibly growing with the sample size have received a lot of attention in the recent times. Chernozhukov et al. (2017) proved a Berry--Esseen type result for high-dimens
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::02b98f772ee4a508ed1153c19c6d2dbe
https://doi.org/10.3150/20-bej1233
https://doi.org/10.3150/20-bej1233
Autor:
Debapratim Banerjee, Arup Bose
Publikováno v:
Proceedings of Indian National Science Academy, Vol 47, Iss 2 (2016)
We investigate the bulk behaviour of singular values and/or eigenvalues of two types of block random matrices. In the first one, we allow unrestricted structure of order m × p with n × n blocks and in the second one we allow m × m Wigner structure
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8576524cee6580f068d8fd9d05c3cc3f
https://doi.org/10.1007/s13226-016-0187-2
https://doi.org/10.1007/s13226-016-0187-2
Autor:
Matteo Sordello, Debapratim Banerjee
Publikováno v:
Statistics & Probability Letters. 154:108534
We consider the three dimensional array A = { a i , j , k } 1 ≤ i , j , k ≤ n , with a i , j , k ∈ [ 0 , 1 ] , and the two random statistics T 1 ≔ ∑ i = 1 n ∑ j = 1 n a i , j , σ ( i ) and T 2 ≔ ∑ i = 1 n a i , σ ( i ) , π ( i ) ,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::92ad5edf70692b41b34bc1af2d8f02c1
https://doi.org/10.1016/j.spl.2019.06.010
https://doi.org/10.1016/j.spl.2019.06.010
Autor:
Debapratim Banerjee
Publikováno v:
Electron. J. Probab.
We consider the two block stochastic block model on $n$ nodes with asymptotically equal cluster sizes. The connection probabilities within and between cluster are denoted by $p_n:=\frac{a_n}{n}$ and $q_n:=\frac{b_n}{n}$ respectively. Mossel et al.(20
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c393f053aa59ef78ef8962cd2adb2b2c
http://arxiv.org/abs/1609.02854
http://arxiv.org/abs/1609.02854
Autor:
Debapratim Banerjee, Arup Bose
Publikováno v:
Random Matrices: Theory and Applications. :1750011
We consider four specific [Formula: see text] sparse patterned random matrices, namely the Symmetric Circulant, Reverse Circulant, Toeplitz and the Hankel matrices. The entries are assumed to be Bernoulli with success probability [Formula: see text]
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0290e6060f8a68ebd2be76e85be43d00
https://doi.org/10.1142/s2010326317500113
https://doi.org/10.1142/s2010326317500113
Autor:
Debapratim Banerjee, Arup Bose
Publikováno v:
Random Matrices: Theory and Applications. :1750008
We study the largest eigenvalue of certain block matrices where the number of blocks and the block size both increase with suitable conditions on their relative growth. In one of them, we employ a symmetric block structure with large independent Wign
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c87f5b10ad2e6e797532f60dfa7ee35f
https://doi.org/10.1142/s2010326317500083
https://doi.org/10.1142/s2010326317500083