scholarly journals Weak Convergence of the Sample Distribution Function when Parameters are Estimated

1973 ◽  
Vol 1 (2) ◽  
pp. 279-290 ◽  
Author(s):  
J. Durbin
Keyword(s):  
Distribution Function ◽  
Weak Convergence ◽  
Sample Distribution

scholarly journals Weak convergence of the least concave majorant of estimators for a concave distribution function

2017 ◽  
Vol 11 (2) ◽  
pp. 3841-3870 ◽  
Author(s):  
Brendan K. Beare ◽  
Zheng Fang
Keyword(s):  
Distribution Function ◽  
Weak Convergence ◽  
Least Concave Majorant

scholarly journals TESTING SERIAL INDEPENDENCE USING THE SAMPLE DISTRIBUTION FUNCTION

1996 ◽  
Vol 17 (3) ◽  
pp. 271-285 ◽  
Author(s):  
Miguel A. Delgado
Keyword(s):  
Distribution Function ◽  
Sample Distribution ◽  
Serial Independence

Distribution Theory for Tests Based on the Sample Distribution Function.

1974 ◽  
Vol 137 (3) ◽  
pp. 433
Author(s):  
S. D. Silvey ◽  
J. Durbin
Keyword(s):  
Distribution Function ◽  
Distribution Theory ◽  
Sample Distribution

scholarly journals Exact distributions of order statistics from ln,p-symmetric sample distributions

2017 ◽  
Vol 5 (1) ◽  
pp. 221-245 ◽  
Author(s):  
K. Müller ◽  
W.-D. Richter
Keyword(s):  
Distribution Function ◽  
Finite Number ◽  
Order Statistics ◽  
Cumulative Distribution Function ◽  
Cumulative Distribution ◽  
Symmetric Distributions ◽  
Sample Distribution ◽  
Special Cases ◽  
Exact Distributions ◽  
Gaussian Sample

Abstract We derive the exact distributions of order statistics from a finite number of, in general, dependent random variables following a joint ln,p-symmetric distribution. To this end,we first review the special cases of order statistics fromspherical aswell as from p-generalized Gaussian sample distributions from the literature. To study the case of general ln,p-dependence, we use both single-out and cone decompositions of the events in the sample space that correspond to the cumulative distribution function of the kth order statistic if they are measured by the ln,p-symmetric probability measure.We show that in each case distributions of the order statistics from ln,p-symmetric sample distribution can be represented as mixtures of skewed ln−ν,p-symmetric distributions, ν ∈ {1, . . . , n − 1}.

Distribution Free Tests Based on the Sample Distribution Function

Biometrika ◽  
1966 ◽  
Vol 53 (1/2) ◽  
pp. 99 ◽  
Author(s):  
C. F. Crouse
Keyword(s):  
Distribution Function ◽  
Distribution Free ◽  
Sample Distribution

scholarly journals Least Error Sample Distribution Function

2009 ◽  
Vol 8 (2) ◽  
pp. 396-408
Author(s):  
Vassili F. Pastushenko
Keyword(s):  
Distribution Function ◽  
Sample Distribution

scholarly journals Estimation of finite population distribution function with dual use of auxiliary information under non-response

PLoS ONE ◽  
2020 ◽  
Vol 15 (12) ◽  
pp. e0243584
Author(s):  
Sardar Hussain ◽  
Sohaib Ahmad ◽  
Sohail Akhtar ◽  
Amara Javed ◽  
Uzma Yasmeen
Keyword(s):  
Distribution Function ◽  
Finite Population ◽  
Population Distribution ◽  
Auxiliary Information ◽  
Simple Random Sampling ◽  
Auxiliary Variable ◽  
Distribution Functions ◽  
Auxiliary Variables ◽  
Sample Mean ◽  
Sample Distribution

In this paper, we propose two new families of estimators for estimating the finite population distribution function in the presence of non-response under simple random sampling. The proposed estimators require information on the sample distribution functions of the study and auxiliary variables, and additional information on either sample mean or ranks of the auxiliary variable. We considered two situations of non-response (i) non-response on both study and auxiliary variables, (ii) non-response occurs only on the study variable. The performance of the proposed estimators are compared with the existing estimators available in the literature, both theoretically and numerically. It is also observed that proposed estimators are more precise than the adapted distribution function estimators in terms of the percentage relative efficiency.

scholarly journals Distribution Free Tests of Independence Based on the Sample Distribution Function

1985 ◽  
pp. 405-418
Author(s):  
J. R. Blum ◽  
J. Kiefer ◽  
M. Rosenblatt
Keyword(s):  
Distribution Function ◽  
Distribution Free ◽  
Sample Distribution ◽  
Tests Of Independence
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