Abstract
GFs are used in various branches of statistics like distribution theory, stochastic processes, etc. A one-to-one correspondence is established between the power series expansion of a GF in one or more auxiliary (dummy) variables, and the coefficients of a known sequence.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Chattamvelli, R., & Shanmugam, R. (2020). Discrete distributions in engineering and the applied sciences. Springer.
Johnson, N. L., Kotz, S., & Balakrishnan, N. (2005). Continuous univariate distributions (Vols. 1,2, 2nd ed.). New York: Wiley.
Puri, P. S. (1966). Probability generating functions of absolute difference of two random variables. Proceedings of the National Academy of Sciences, 56(4), 1059–1061.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Chattamvelli, R., Shanmugam, R. (2023). Generating Functions in Statistics. In: Generating Functions in Engineering and the Applied Sciences. Synthesis Lectures on Engineering, Science, and Technology. Springer, Cham. https://doi.org/10.1007/978-3-031-21143-0_3
Download citation
DOI: https://doi.org/10.1007/978-3-031-21143-0_3
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-21142-3
Online ISBN: 978-3-031-21143-0
eBook Packages: Synthesis Collection of Technology (R0)eBColl Synthesis Collection 12