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Research Article Open access CC BY 4.0

Estimation of Seasonal Variances in Descriptive Time Series Analysis

Kelechukwu C. N. Dozie

Asian Journal of Advanced Research and Reports · pp. 37–47 · Published 29 May 2020

10.9734/ajarr/2020/v10i330245

Abstract

This study presents the Buys-Ballot estimation procedure of row and seasonal variances in time series decomposition when trend component of time series is linear. Therefore, the main objective of this study is to obtain the Buys-Ballot estimates of row and seasonal variances for the mixed model. The method adopted in this study is Buys-Ballot procedure developed for choice of appropriate model for decomposition of any study series. The statistical software (MINITAB 17.0 version) is also adopted in this study. Results of the Buys-Ballot estimates for mixed model  indicate that, the row variance is a function of trend parameters and seasonal component of the original series. It is for column variance, a constant multiple of the square of the seasonal component.

Time series decomposition trend-cycle component mixed model seasonal variance Buys-Ballot estimate choice of model

Cited by 15

Additive Seasonality in Time Series using Row and Overall Sample Variances of the Buys-Ballot Table

Kelechukwu C. N. Dozie, Stephen O. Ihekuna · Asian Journal of Probability and Statistics · 2022

The Expected Values of Buys-Ballot Estimates for Multiplicative Model with the Error Terms

Kelechukwu C. N. Dozie, Christian C. Ibebuogu · Asian Journal of Research and Reviews in Physics · 2023

Buys-Ballot Estimates for Overall Sample Variances and Their Statistical Properties: A Mixed Model Case

Kelechukwu C. N. Dozie, Dozie , Kelechukwu C. N. · Asian Journal of Advanced Research and Reports · 2023

Decomposition with the Additive Model with Exponential Trend Curve and Detection of Seasonal Effect in Descriptive Time Series

Kelechukwu C. N. Dozie, Stephen O. Ihekuna · Journal of Engineering Research and Reports · 2023

The Proposed Buys-Ballot Estimates for Multiplicative Model with the Error Variances

K. C. N. Dozie, M. U. Uwaezuoke · Journal of Engineering Research and Reports · 2023

Statistical Properties of Buys-Ballot Estimates for Multiplicative Model with the Error Terms

K. Dozie, C. C. Ibebuogu · Asian Journal of Research in Computer Science · 2023

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