Jñānābha, Vol. 50 (2) (2020), (63-74)
SOME APPLICATIONS OF MULTINOMINAL THEOREM IN SOLVING ALGEBRAIC EXPRESSIONS UNDER LINEAR MODELS
By
Vikas Bist
Department of Mathematics
Panjab University, Chandigarh-160014, India
Email: bistvikas@gmail.com
Manoj Kumar* and Man Inder Kumar
Department of Statistics
Panjab University, Chandigarh-160014, India
Email: mantiwa@gmail.com, maninderbajarh@gmail.com
*Corresponding author
(Received : May 07, 2020; Revised: June 03, 2020; Final Form : December 11, 2020)
DOI: https://doi.org/10.58250/jnanabha.2020.50208
In this paper, an attempt has been made to provide the step-wise detailed algebraic expression for evaluation of expected values of different orders of error term (u) by employing multinominal theorem. The expectation of even order moments of error term (u) has been provided in case error term is not necessarily following normal distribution.
2010 Mathematics Subject Classifications: 15A30, 60E10, 62J05
Keywords and phrases: Characteristic function, Expectations, Linear Models, Matrices, Multinominal Theorem.