Analysis of the Calculation of Mathematical Expectations
Abstract
Mathematical expectations are the most commonly used feature numbers in probability theory and mathematical statistics, and there are various methods for calculating mathematical expectations. This paper systematically studies the calculation methods of mathematical expectations, mainly involving the calculation of mathematical expectations by using distribution functions, characteristic functions, and Moment Generating Function, and also involves the techniques of calculating mathematical expectations such as conditional mathematical expectation formulas, heavy expectation formulas, and mathematical expectation property methods.
Keywords
Full Text:
PDFReferences
Hou W, Gao Y. Typical errors in mathematical expectation calculation[J]. Advanced Studies in Mathematics,2011,14(3):27-28.
Wang FX. Application of exponential parent function in mathematical expectation calculation[J].Journal of Chongqing University of Arts and Sciences,2014,33(2):33-35.
Li XY, Huang LL. Calculation method of mathematical expectation in probability theory[J]. Journal of Mudanjiang Institute of Education,2014,4:59-60.
Ning RJ, Yu BS. Mathematical expectation and variance calculation of mixed random variables based on distribution function[J].University Mathematics,2015,31(2):48-52.
Xiao WH. Journal of Hunan University of Technology, 2008,22(3):98-100.
Chen HY, Deng Z. Mathematical expectation calculation of random variables[J].Harbin Normal University(Natural Science Edition),2015,31(5):44-45.
Wang GH, An BL, Xu B. Application of mathematical expectation in classical probability calculation[J].Advanced Studies in Mathematics,2015,18(1):88-90.
Mao SS, Cheng YM, Pu XL. (2011) Course of Probability Theory and Mathematical Statistics[M]. Beijing: Higher Education Press.
Lin ZY, Lu CR, Su ZG. Theoretical Basis of Probabilistic Limit (Second Edition)[M]. Beijing: Higher Education Press,2015.
Kuang NH. Direct Calculation of Mathematical Expectation and Variance in Pairing Problem[J]. Journal of Xi'an University of Posts and Telecommunications, 2009, 14(5): 148-150.
DOI: http://dx.doi.org/10.18686/ahe.v6i24.5656
Refbacks
- There are currently no refbacks.
