Asymptotic distribution of the empirical spatial cumulative distribution function predictor and prediction bands based on a subsampling method

1999 ◽  
Vol 114 (1) ◽  
pp. 55-84 ◽  
Author(s):  
S.N. Lahiri
Keyword(s):  
Distribution Function ◽  
Asymptotic Distribution ◽  
Cumulative Distribution Function ◽  
Cumulative Distribution ◽  
Subsampling Method ◽  
Function Predictor ◽  
Prediction Bands

Random arcs on the circle

1978 ◽  
Vol 15 (04) ◽  
pp. 774-789 ◽  
Author(s):  
Andrew F. Siegel
Keyword(s):  
Integral Equation ◽  
Distribution Function ◽  
Exponential Distribution ◽  
Asymptotic Distribution ◽  
Cumulative Distribution Function ◽  
Cumulative Distribution

Place n arcs of equal lengths randomly on the circumference of a circle, and let C denote the proportion covered. The moments of C (moments of coverage) are found by solving a recursive integral equation, and a formula is derived for the cumulative distribution function. The asymptotic distribution of C for large n is explored, and is shown to be related to the exponential distribution.

Random arcs on the circle

1978 ◽  
Vol 15 (4) ◽  
pp. 774-789 ◽  
Author(s):  
Andrew F. Siegel
Keyword(s):  
Integral Equation ◽  
Distribution Function ◽  
Exponential Distribution ◽  
Asymptotic Distribution ◽  
Cumulative Distribution Function ◽  
Cumulative Distribution

Place n arcs of equal lengths randomly on the circumference of a circle, and let C denote the proportion covered. The moments of C (moments of coverage) are found by solving a recursive integral equation, and a formula is derived for the cumulative distribution function. The asymptotic distribution of C for large n is explored, and is shown to be related to the exponential distribution.

DISSONANCE — A MEASURE OF VARIABILITY FOR ORDINAL RANDOM VARIABLES

2001 ◽  
Vol 09 (01) ◽  
pp. 39-53 ◽  
Author(s):  
RONALD R. YAGER
Keyword(s):  
Distribution Function ◽  
Cumulative Distribution Function ◽  
Probability Distributions ◽  
Random Variables ◽  
Cumulative Distribution ◽  
General Properties

We look at the issue of obtaining a variance like measure associated with probability distributions over ordinal sets. We call these dissonance measures. We specify some general properties desired in these dissonance measures. The centrality of the cumulative distribution function in formulating the concept of dissonance is pointed out. We introduce some specific examples of measures of dissonance.

Estimating the cumulative distribution function for the linear combination of gamma random variables

2017 ◽  
Vol 20 (5) ◽  
pp. 939-951
Author(s):  
Amal Almarwani ◽  
Bashair Aljohani ◽  
Rasha Almutairi ◽  
Nada Albalawi ◽  
Alya O. Al Mutairi
Keyword(s):  
Distribution Function ◽  
Linear Combination ◽  
Cumulative Distribution Function ◽  
Random Variables ◽  
Cumulative Distribution
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