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On normal spacings

期刊: STATISTICS & PROBABILITY LETTERS, 2023; 193 ()

In this work, we discuss some properties of spacings based on order statistics from normal population. We present the joint density of spacings and th......

Notes on Peng?s independence in sublinear expectation theory

期刊: STATISTICS & PROBABILITY LETTERS, 2023; 193 ()

This paper introduces a new viewpoint of Peng's independence in sublinear expectation theory via conditional expectation and provides new construction......

The fractional smoothness of integral functionals driven by Brownian motion

期刊: STATISTICS & PROBABILITY LETTERS, 2023; 193 ()

In this paper, we study the fractional smoothness of integral functionals driven by Brownian motion. By using Yamada identities, we also obtain the fr......

Asymptotic degree distribution in a homogeneous evolving network model

期刊: STATISTICS & PROBABILITY LETTERS, 2023; 193 ()

In this paper we propose an evolving network model, which is a randomized version of the pseudofractal graphs by introducing an evolutionary parameter......

Reweighted madogram-type estimator of Pickands dependence function

期刊: STATISTICS & PROBABILITY LETTERS, 2023; 195 ()

This work proposes a reweighted, madogram-type estimator for the Pickands depen-dence function of bivariate time series and illustrates how it brings ......

Some comments on ?The density flatness phenomenon?by Alhakim and Molchanov and the Dickman distribution

期刊: STATISTICS & PROBABILITY LETTERS, 2023; 194 ()

In a recent paper by Alhakim and Molchanov (2019), the authors deal with a certain sum of independent and identically distributed random variables and......

Product inequalities for multivariate Gaussian, gamma, and positively upper orthant dependent distributions

期刊: STATISTICS & PROBABILITY LETTERS, 2023; 197 ()

The Gaussian product inequality is an important conjecture concerning the moments of Gaussian random vectors. While all attempts to prove the Gaussian......

On expected waiting time until given words appear in random sequence

期刊: STATISTICS & PROBABILITY LETTERS, 2023; 197 ()

We provide a formula for the expected waiting time until more than one words appear among given words in a random sequence, and show that distribution......

On infinitely divisible distributions related to the Riemann hypothesis

期刊: STATISTICS & PROBABILITY LETTERS, 2023; 201 ()

For the Riemann zeta-function, we introduce a function such that it is a characteristic function of an infinitely divisible distribution on the real l......

Huber estimation for the network autoregressive model

期刊: STATISTICS & PROBABILITY LETTERS, 2023; 203 ()

We propose the Huber estimator for the network autoregressive model, which exhibits both robustness and efficiency under heavy-tailed errors and loses......

Minimizing uncertainty in prevalence estimates

期刊: STATISTICS & PROBABILITY LETTERS, 2023; 205 ()

Estimating prevalence q, the fraction of a population with a specific medical condition, is fundamental to epidemiology. Traditional methods address t......

Complete monotonicity of time-changed L?vy processes at first passage

期刊: STATISTICS & PROBABILITY LETTERS, 2023; 193 ()

We consider the class of (possibly killed) spectrally positive Levy process that have been time-changed by the inverse of an integral functional. With......

An almost sure invariance principle for some classes of non-stationary mixing sequences

期刊: STATISTICS & PROBABILITY LETTERS, 2023; 193 ()

In this note we (in particular) prove an almost sure invariance principle (ASIP) for non-stationary and uniformly bounded sequences of random variable......

Laplace's method and BIC model selection for least absolute value criterion

期刊: STATISTICS & PROBABILITY LETTERS, 2023; 195 ()

In this paper, we provide an answer to the following question: In the particular case of a non-differentiable likelihood, is the formula for the BIC m......

Diffusion approximation of an infinite-server queue under Markovian environment with rapid switching

期刊: STATISTICS & PROBABILITY LETTERS, 2023; 195 ()

We consider an infinite-server queue with Markov-modulated non-homogeneous arrival and service processes. We adopt the martingale central limit theore......

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