Article citationsMore>>

Bityukov, S.I., Medvedev, V.A., Smirnova, V.V. and Zernii, Yu.V. (2004) Experimental Test of the Probability Densityfunction of True Value of Poisson Distribution Parameter by Single Observation of Number of Events. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 534, 228-231.
http://dx.doi.org/10.1016/j.nima.2004.07.092

has been cited by the following article:

• TITLE: Statistically Dual Distributions and Estimation

  AUTHORS: Sergey Bityukov, Nikolai Krasnikov, Saralees Nadarajah, Vera Smirnova

  KEYWORDS: Distribution Theory, Confidence Distribution, Measurement, Error Theory, Data Analysis: Algorithms and Implementation, Data Management

  JOURNAL NAME: Applied Mathematics, Vol.5 No.6, April 8, 2014

  ABSTRACT: The reconstruction of a parameter by the measurement of a random variable depending on the parameter is one of the main tasks in statistics. In statistical inference, the concept of a confidence distribution and, correspondingly, confidence density has often been loosely referred to as a distribution function on the parameter space that can represent confidence intervals of all levels for a parameter of interest. In this short note, the notion of statistically dual distributions is discussed. Based on properties of statistically dual distributions, a method for reconstructing the confidence density of a parameter is proposed.