Evidential inference based on record data and inter-record times

Science looks to statistics for an objective measure of the strength of evidence in a given body of observations. In this paper, we shall use a criterion defined as a combination of probabilities of weak and strong misleading evidence to do the comparison between only record values and the same number of record values and inter-record times. Also, a simulation is presented to illustrate the results.

[1]  Nasser Reza Arghami,et al.  some measures of support for statistical hypotheses , 2003 .

[2]  R. Royall On the Probability of Observing Misleading Statistical Evidence , 2000 .

[3]  Jeffrey D Blume,et al.  Likelihood methods for measuring statistical evidence , 2002, Statistics in medicine.

[4]  Francisco J. Samaniego,et al.  On estimating population characteristics from record‐breaking observations. i. parametric results , 1988 .

[5]  Zhuzhoma Evgeny Victorovich,et al.  Translation of Mathematical Monographs , 1996 .

[6]  P. Hall,et al.  On Statistical Inference Based on Record Values , 1998 .

[7]  R. Royall Statistical Evidence: A Likelihood Paradigm , 1997 .

[8]  Nonparametric confidence and tolerance intervals from record values data , 2003 .

[9]  Narayanaswamy Balakrishnan,et al.  Records: Arnold/Records , 1998 .

[10]  Valery B. Nevzorov,et al.  Records: Mathematical Theory , 2000 .

[11]  Comparison of record data and random observations based on statistical evidence , 2007 .

[12]  William J. Padgett,et al.  Parametric and Nonparametric Inference from Record-Breaking Data , 2003 .

[13]  Jafar Ahmadi,et al.  On the Fisher information in record values , 2001 .

[14]  K. N. Chandler THE DISTRIBUTION AND FREQUENCY OF RECORD VALUES , 1952 .

[15]  Mohammad Ahsanullah,et al.  Record Values Theory and Applications , 2004 .

[16]  Ned Glick,et al.  Breaking Records and Breaking Boards , 1978 .

[17]  Jafar Ahmadi,et al.  Comparing the fisher information in record values and iid observations , 2003 .

[18]  Sneh Gulati,et al.  Nonparametric function estimation from inversely sampled record-breaking data , 1995 .