Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Julian Górny"'
Publikováno v:
American Journal of Mathematical and Management Sciences. 41:101-127
This paper introduces multi-sample Type-II progressive hybrid censoring which allows to incorporate data from k≥2 independently conducted Type-II (progressive) hybrid censored experiments for the f...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2e784d6c8343198c58a00760c7888b31
https://doi.org/10.1080/01966324.2021.1914251
https://doi.org/10.1080/01966324.2021.1914251
Autor:
Erhard Cramer, Julian Górny
Publikováno v:
Journal of the Korean Statistical Society. 48:340-355
We propose an approach to determine the distribution of particular linear combinations of hybrid censored order statistics which is based on the calculation of volumes of polytopes. For this purpose, we establish efficient and compact volume formulas
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2704b2a3e392fc7165fb507c6bdf06b7
https://doi.org/10.1016/j.jkss.2019.04.002
https://doi.org/10.1016/j.jkss.2019.04.002
Autor:
Julian Górny, Erhard Cramer
Publikováno v:
Sankhya B. 82:201-239
In simple step-stress models based on exponential distributions, the distributions of the MLEs are commonly obtained using the moment generating function. In this paper, we propose an alternative method, the so-called expected value approach, introdu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::79feef9e3ad8c66f87c1e8b5d6560929
https://doi.org/10.1007/s13571-019-00188-9
https://doi.org/10.1007/s13571-019-00188-9
Autor:
Julian Górny, Erhard Cramer
Publikováno v:
Journal of the Indian Society for Probability and Statistics. 19:169-199
We introduce a new hybrid censoring scheme called general unified (progressive) hybrid censoring and study its properties by applying the modularization technique proposed in Gorny and Cramer (Metrika 81(2):173–210, 2018a). For exponentially distri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::74b3beeba6d6a5fd1c8fccef9a8532da
https://doi.org/10.1007/s41096-018-0039-y
https://doi.org/10.1007/s41096-018-0039-y
Autor:
Julian Górny, Erhard Cramer
Publikováno v:
Metrika. 81:173-210
In this paper, a structural analysis of hybrid censoring models is presented. This new modularization approach to hybrid censoring models enables a convenient derivation of distributional results. For instance, it allows to derive the exact distribut
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c474b0e40f4b21945eaf5937e4ebbd3c
https://doi.org/10.1007/s00184-017-0639-7
https://doi.org/10.1007/s00184-017-0639-7
Autor:
Julian Górny, Erhard Cramer
Publikováno v:
Statistical Papers. 60:1119-1135
We establish an identity that relates B-spline functions to linear combinations of gamma density functions. Utilizing this connection, we illustrate that, for exponentially distributed lifetimes, the distribution of the MLE in various hybrid censorin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9cea86f504dd58622e2e4e56ac18c519
https://doi.org/10.1007/s00362-016-0866-4
https://doi.org/10.1007/s00362-016-0866-4
Publikováno v:
Applied Mathematical Modelling. 40:8156-8174
Type-I censored sequential order statistics are introduced and their distribution is examined. In the case of underlying exponential distributions, the conditional joint and marginal distributions of the normalized spacings given the number of observ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f3bf5b1739139d5dcc250596b7acda2f
https://doi.org/10.1016/j.apm.2016.03.052
https://doi.org/10.1016/j.apm.2016.03.052
Autor:
Erhard Cramer, Julian Górny
Publikováno v:
Statistical Methodology. 29:70-94
Generalized Type-I and Type-II hybrid censoring schemes as proposed in Chandrasekar et al. (2004) are extended to progressively Type-II censored data. Using the spacings’ based approach due to Cramer and Balakrishnan (2013), we obtain explicit expr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::37dbbfa61e6a9cdade4d5aff3b31cc57
https://doi.org/10.1016/j.stamet.2015.10.003
https://doi.org/10.1016/j.stamet.2015.10.003
Autor:
Julian Górny, Erhard Cramer
Publikováno v:
Journal of Computational and Applied Mathematics. 366:112404
We consider inference based on multiple samples subject to Type-I hybrid censoring. The original data is supposed to be obtained as failure times from k ≥ 2 independent Type-I censored sequential r -out-of- n systems. For the mean ϑ of exponential
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f57910178e7fcf3995634d29e2e927d2
https://doi.org/10.1016/j.cam.2019.112404
https://doi.org/10.1016/j.cam.2019.112404
Publikováno v:
Journal of Statistical Computation and Simulation. 86:2036-2052
Distributions of the maximum likelihood estimators (MLEs) in Type-II (progressive) hybrid censoring based on two-parameter exponential distributions have been obtained using a moment generating function approach. Although resulting in explicit expres
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e783c91e43e77b369793f66d8c1e7756
https://doi.org/10.1080/00949655.2015.1099657
https://doi.org/10.1080/00949655.2015.1099657