On Transformations of Random Vectors

This technical report treats some technical considerations related to the probability density function of a function of a random vector.

[1]  Yannis Viniotis.  Probability and random processes for electrical engineers , 1997 .

[2]  V. Chandrasekar,et al.  Introduction to probability and random processes , 1998 .

[3]  J. Rice.  Mathematical Statistics and Data Analysis , 1988 .

[4]  C. McGillem,et al.  Probabilistic Methods of Signal and System Analysis - Second edition , 1971 .

[5]  Henry Stark,et al.  Probability, Random Processes, and Estimation Theory for Engineers , 1995 .

[6]  C. Geiss,et al.  An introduction to probability theory , 2008 .

[7]  R. F.,et al.  Mathematical Statistics , 1944, Nature.

[8]  Robert V. Brill,et al.  Applied Statistics and Probability for Engineers , 2004, Technometrics.

[9]  Jeffrey A. Fessler,et al.  Exact distribution of edge-preserving MAP estimators for linear signal models with Gaussian measurement noise , 2000, IEEE Trans. Image Process..

[10]  P. Peebles.  Probability, Random Variables and Random Signal Principles , 1993 .

[11]  Patrick Billingsley,et al.  Probability and Measure. , 1986 .

[12]  Raymond H. Myers,et al.  Probability and Statistics for Engineers and Scientists. , 1973 .

[13]  J. Wolfowitz,et al.  An Introduction to the Theory of Statistics , 1951, Nature.

[14]  Richard A. Brown,et al.  Introduction to random signals and applied kalman filtering (3rd ed , 2012 .

[15]  John G. Proakis,et al.  Probability, random variables and stochastic processes , 1985, IEEE Trans. Acoust. Speech Signal Process..

[16]  S. Leigh,et al.  Probability and Random Processes for Electrical Engineering , 1989 .