On fixed-accuracy and bounded accuracy confidence interval estimation problems in Fisher's “Nile” example

N Mukhopadhyay, Y Zhuang - Sequential Analysis, 2016 - Taylor & Francis
Fisher's “Nile” example is a classic that involves a bivariate random variable (X, Y) having a
joint probability density function given by f (x, y; θ)= exp (− θx− θ− 1y), 0< x, y<∞, where θ> 0 …

The scaled uniform model revisited

M Mandel - The American Statistician, 2020 - Taylor & Francis
Sufficiency, conditionality, and invariance are basic principles of statistical inference. Current
mathematical statistics courses do not devote much teaching time to these classical …

[PDF][PDF] Legends Can Wrong: A counterexample to a claim on optimal testing by Pratt, Lehmann and Fraser

G Taraldsen - 2022 - researchgate.net
Abstract Pratt (1961b), Lehmann (1986), and Fraser (2004) all claim that the Welch (1939)
interval for the location of the rectangular distribution is the most powerful interval in the …

Uniformly Minimum Variance Unbiased Estimators (UMVUE) Not Attaining Cramer-Rao Lower Bounds

SC Bagui, KL Mehra - International Journal of Statistical Sciences, 2024 - banglajol.info
The main thrust of this article is to provide counterexamples where the variance of the
UMVUE does not achieve the Cramer-Rao lower bound. We provided many motivating …

Purely Sequential and Two-Stage Bounded-Length Confidence Interval Estimation Problems in Fisher's “Nile” Example

N Mukhopadhyay, Y Zhuang - Journal of the Japan Statistical Society, 2017 - jstage.jst.go.jp
Fisher's “Nile” example is a classic which involves a bivariate random variable (X, Y) having
a joint probability density function given by f (x, y; θ)= exp (− θx− θ− 1y), 0< x, y<∞, where θ> …

On the structure of UMVUEs

AM Kagan, Y Malinovsky - Sankhya A, 2016 - Springer
In all setups when the structure of UMVUEs is known, there exists a subalgebra UU (MVE-
algebra) of the basic s-algebra such that all U U-measurable statistics with finite second …

Partially complete sufficient statistics are jointly complete

AM Kagan, Y Malinovsky, L Mattner - arXiv preprint arXiv:1307.3654, 2013 - arxiv.org
The theory of the basic statistical concept of (Lehmann-Scheff\'e-) completeness is perfected
by providing the theorem indicated in the title and previously overlooked for several …

Partially Complete Sufficient Statistics Are Jointly Complete

AM Kagan, Y Malinovsky, L Mattner - Theory of Probability & Its Applications, 2015 - SIAM
The theorem formulated in the title (surprisingly, the result has been overlooked for many
years) complements the theory of sufficient statistics in the part related to Lehmann--Scheffé …

Estimation of the location parameter of distributions with known coefficient of variation by record values

NK Sajeevkumar, MR Irshad - Statistica, 2014 - rivista-statistica.unibo.it
In this article, we derived the Best Linear Unbiased Estimator (BLUE) of the location
parameter of certain distributions with known coefficient of variation by record values …

[图书][B] Statistical Information, Inference, and Sampling Strategies

Y Zhuang - 2018 - search.proquest.com
Abstract Fisher's (1934, 1956)" Nile" example is a classic. He revisited this example a
number of times and it was reproduced in a 1973 edition (Fisher 1973, pp. 122). The" Nile" …