The eigenproblem solution of the multi-domain efficient allocation is identified as a direct generalization of the classical Neyman-Tchuprov optimal allocation in stratified SRSWOR. This is achieved through analysis of eigenvalues and eigenvectors of a suitable population-based matrix D. Such...

There is a continuing interplay between mathematics and survey methodology involving different branches of mathematics, not only probability. This interplay is quite obvious as regards the first of the two options: probability vs. non-probability sampling, as proposed and discussed in Kalton...

This title is written for the numerate nonspecialist, and hopes to serve three purposes. First it gathers mathematical material from diverse but related fields of order statistics, records, extreme value theory, majorization, regular variation and subexponentiality. All of these are relevant for...

We consider a problem of characterization of continuous distributions for which linearity of regression of overlapping order statistics, <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$\mathbb {E}(X_{i:m}|X_{j:n})=aX_{j:n}+b$$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <mrow> <mi mathvariant="double-struck">E</mi> <mrow> <mo stretchy="false">(</mo> <msub> <mi>X</mi> <mrow> <mi>i</mi> <mo>:</mo> <mi>m</mi> </mrow> </msub> <mo stretchy="false">|</mo> <msub> <mi>X</mi> <mrow> <mi>j</mi> <mo>:</mo> <mi>n</mi> </mrow> </msub> <mo stretchy="false">)</mo> </mrow> <mo>=</mo> <mi>a</mi> <msub> <mi>X</mi> <mrow> <mi>j</mi> <mo>:</mo> <mi>n</mi> </mrow> </msub> <mo>+</mo> <mi>b</mi> </mrow> </math> </EquationSource> </InlineEquation>, <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$$m\le n$$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <mrow> <mi>m</mi> <mo>≤</mo> <mi>n</mi> </mrow> </math> </EquationSource> </InlineEquation>, holds. Due to a new...</equationsource></equationsource></inlineequation></equationsource></equationsource></inlineequation>

Different concepts of neutrality have been studied in the literature in context of independence properties of vectors of random probabilities, in particular, for Dirichlet random vectors. Some neutrality conditions led to characterizations of the Dirichlet distribution. In this paper we provide...