统计与随机过程在信号处理中的应用

出版时间:2008-1  出版社:高等教育  作者:本社  
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内容概要

The first editiofl of this book (1986) grew out of a set of notes used by the authorsto teach two one-semester courses on probability and random processes at Rensse-laer Polytechnic Institute (RPI). At that time the probability course at RPI was re-quired of all students in the Computer and Systems Engineering Program and was a highly recommended elective for students in closely related areas. While many un-dergraduate students took the course in the junior year, many seniors and first-year graduate students took the course for credit as well. Then, as now, most of the stu-dents were engineering students. To serve these students well, we felt that we should be rigorous in introducing fundamental principles while furnishing many op- portunities for students to develop their skills at solving problems.

书籍目录

Introduction to Probability 1.1  INTRODUCTION:WHY STUDY PROBABILITY? 1.2  THE DIFFERENT KINDS OF PROBABILITY  A. Probability as Intuition  B. Probability as the Ratio of Favorable to Total Outcomes (Classical Theory)  C. Probability as a Measure of Frequency of Occurrence  D. Probability Based on an Axiomatic Theory 1.3  MISUSES,MISCALCULATIONS,AND PARADOXES 1N PROBABILITY 1.4  SETS,FIELDS,AND EVENTS Examples of Sample Spaces 1.5  AXIOMATIC DEFINITION OF PROBABILITY 1.6  JOINT, CONDITIONAL,AND TOTAL PROBABILITIES;INDEPENDENCE 1.7  BAYES' THEOREM AND APPLICATIONS 1.8  COMBINATORICS  Occupancy Problems  Extensions and Applications 1.9  BERNOULLI TRIALS--BINOMIAL AND MULTINOMIAL  PROBABILITY LAWS  Multinomial Probability Law 1.10    ASYMPTOTIC BEHAVIOR oF THE BINOMIAL LAW: THE POISSON LAW 1.11     NORMAL APPROXIMATION TO THE BINOMIAL LAW 1.12 SUMMARY    PROBLEMS    REFERENCES2 Random Variables  2.1     INTRODUCTION  2.2    DEFINITION OF A RANDOM VARIABLE  2.3    PROBABILITY DISTRIBUTION FUNCTION  2.4    PROBABILITY DENSITY FUNCTION(pdf) Four Other Common Density Functions More Advanced Density Functions  2.5  CONTINUOUS,DISCRETE,AND MIXED RANDOM VARIABLES   Examples of Probability Mass Functions 2.6  CONDITIONAL AND JOINT DISTRIBUTIONS AND  DENSITIES  2.7  FAILURE RATES  2.8  FUNCTIONS OF A RANDOM VARIABLE  2.9  SOLVING PROBLEMS OF THE TYPE  2.10  SOLVING PROBLEMS OF THE TYPE  2.11  SOLVING PROBLEMS OF THE TYPE W=h(X,Y)  2.12 SUMMARY    PROBLEMS    REFERENCES    ADDITIONAL READING3. Expectation and Introduction to Estimation  3.1  EXPECTED VALUE OF A RANDOM VARIABLE  On the Validity of Equation 3.1 -8 3.2   CONDITIONAL EXPECTATIONS  Conditional Expectation as a Random Variable……

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  •   统计与随机过程 纯英文 挑选要注意喽
  •   粗度后,觉得可用于双语教程内容布局合理,知识量适中,可用于本科和研究生教学。尤其是最后的应用部分特别适合研究生和科研人员学习。
  •   本书内容挺好的,只是有些错误,大家阅读时需要留心些。另外本书是缩略版,和原书相比内容进行了缩减。
  •   It'sOK.
 

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