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Probability Density Function

Encyclopedia of Mathematical Geosciences, 2022
A. D. Nascimento
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On Estimation of a Functional of a Probability Density Function [PDF]

open access: possibleCalcutta Statistical Association Bulletin, 1993
The problem of estimating the integral of the square of a probability density function is considered, It is shown that under some regularity conditions the kernel estimate of this functional is asymptotically normally distributed. An expression for the smoothing parameter that minimizes the mean square error of the estimate is derived.
Leo Odongo, M. Samanta
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Probability and Density Functions

2021
This chapter deals with discussion of important probability density functions used in practice.
Chandrasekhar Putcha   +2 more
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AK-PDF: An active learning method combining kriging and probability density function for efficient reliability analysis

, 2020
An important challenge in structural reliability is to reduce the number of calls to evaluate the performance function, especially the complex implicit performance functions.
Chengning Zhou   +3 more
semanticscholar   +1 more source

Probability density functions of soft information

IEEE Communications Letters, 2002
It is well known that soft decoding algorithms are based on the use of reliability measures for binary and nonbinary symbols. We consider an analytical estimation of the distributions of reliability measures after soft decoding of block and convolutional codes or intersymbol interference (ISI) channels.
REGGIANI, LUCA, TARTARA, GUIDO
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A type theory for probability density functions

Proceedings of the 39th annual ACM SIGPLAN-SIGACT symposium on Principles of programming languages, 2012
There has been great interest in creating probabilistic programming languages to simplify the coding of statistical tasks; however, there still does not exist a formal language that simultaneously provides (1) continuous probability distributions, (2) the ability to naturally express custom probabilistic models, and (3) probability density functions ...
Alexander G. Gray   +3 more
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Calibration of Probability Density Function

2019
The capability performance index (Cpk) is often used to measure the capability of the production process and to predict yield. However, this Cpk is only defined for the Gaussian distribution. At NXP Semiconductors an on-chip calibration technique is frequently used to reduce the effect of process variations.
Bratislav Tasić   +5 more
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Mathematical model for the irradiance probability density function of a laser beam propagating through turbulent media

, 2001
We develop a model for the probability density function (pdf) of the irradiance fluctuations of an optical wave propagating through a turbulent medium. The model is a two-parameter distribution that is based on a doubly stochastic theory of scintillation
M. Al-Habash, L. Andrews, R. Phillips
semanticscholar   +1 more source

Estimation of probability densities by empirical density functions†

International Journal of Mathematical Education in Science and Technology, 1978
The empirical density function, a simple modification and improvement of the usual histogram, is defined and its properties are studied. An analysis is presented which enables the interval width to be chosen. The estimators are modified for the important practical case of bounded random variables. Finally, the problems of writing a programme to compute
D.E. Whiteman, Michael S. Waterman
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