Zobrazeno 1 - 10
of 56
pro vyhledávání: '"62E20 (Primary)"'
We provide necessary and sufficient conditions for the uniqueness of the k-means set of a probability distribution. This uniqueness problem is related to the choice of k: depending on the underlying distribution, some values of this parameter could l
Externí odkaz:
http://arxiv.org/abs/2410.13495
Autor:
Mandal, Anirban, Chatterjee, Arindam
Sampling is frequently used to collect data from large networks. In this article we provide valid asymptotic prediction intervals for subgraph counts and clustering coefficient of a population network when a network sampling scheme is used to observe
Externí odkaz:
http://arxiv.org/abs/2407.19191
Autor:
Rasines, Daniel G., Young, G. Alastair
Selection models are ubiquitous in statistics. In recent years, they have regained considerable popularity as the working inferential models in many selective inference problems. In this paper, we derive an asymptotic expansion of the local likelihoo
Externí odkaz:
http://arxiv.org/abs/2311.08365
Autor:
Jiang, Tiefeng, Pham, Tuan
Given a random sample from a multivariate normal distribution whose covariance matrix is a Toeplitz matrix, we study the largest off-diagonal entry of the sample correlation matrix. Assuming the multivariate normal distribution has the covariance str
Externí odkaz:
http://arxiv.org/abs/2304.13102
It is becoming increasingly common to see large collections of network data objects -- that is, data sets in which a network is viewed as a fundamental unit of observation. As a result, there is a pressing need to develop network-based analogues of e
Externí odkaz:
http://arxiv.org/abs/1709.02793
We derive distributional limits for empirical transport distances between probability measures supported on countable sets. Our approach is based on sensitivity analysis of optimal values of infinite dimensional mathematical programs and a delta meth
Externí odkaz:
http://arxiv.org/abs/1707.00973
Autor:
Kumar, A. N., Upadhye, N. S.
Publikováno v:
Statist. Probab. Lett., 141, 19-30, 2018
($k_1,k_2$)-runs have received a special attention in the literature and its distribution can be obtained using combinatorial method (Huang and Tsai) and Markov chain approach (Dafnis et al). But the formulae are difficult to use when the number of B
Externí odkaz:
http://arxiv.org/abs/1609.07847
Since E.P.Wigner (1958) established his famous semicircle law, lots of attention has been paid by physicists, probabilists and statisticians to study the asymptotic properties of the largest eigenvalues for random matrices. Bai and Yin (1988) obtaine
Externí odkaz:
http://arxiv.org/abs/1312.1433
Autor:
Groeneboom, Piet, Jongbloed, Geurt
Two new test statistics are introduced to test the null hypotheses that the sampling distribution has an increasing hazard rate on a specified interval [0,a]. These statistics are empirical L_1-type distances between the isotonic estimates, which use
Externí odkaz:
http://arxiv.org/abs/1101.3333
Publikováno v:
Annals of Probability 2009, Vol. 37, No. 6, 2174-2199
Let ${X_1,...,X_n}$ be i.i.d. random observations. Let $\mathbb{S}=\mathbb{L}+\mathbb{T}$ be a $U$-statistic of order $k\ge2$ where $\mathbb{L}$ is a linear statistic having asymptotic normal distribution, and $\mathbb{T}$ is a stochastically smaller
Externí odkaz:
http://arxiv.org/abs/0903.3081