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Research Article Open access CC BY 4.0

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 · pp. 213–223 · Published 5 Sep 2023

10.9734/ajarr/2023/v17i10546

Abstract

This article proposes an estimation procedure of overall sample variances for the mixed model while comparing them with those of the additive and multiplicative models. The estimation procedure is based on the row, column and overall means and variances of time series data arranged in a Buys-Ballot table. The procedure assumes that (1) the underlying distribution of the variable, X  i j ,  i = 1, 2, ..., m , j = 1, 2, ..., s , under study is normal. (2) the trending curve is either linear or quadratic and (3) the decomposition method is either multiplicative or mixed. Statistical properties of the overall sample variances of the Buys-Ballot table are also considered in this study. Result indicates that, under the stated assumptions, the expected value of the overall sample variances involve sum of square and cross-product of trend parameters and seasonal indices.

Time series decomposition linear trend mixed model overall sample variance suitable model buys-ballot estimates

References (9)

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Cited by 4

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

Decomposition with the Additive Model Using Buys-Ballot Technique of Quadratic Trend-Cycle Component in Descriptive Time Series Analysis

Kelechukwu C. N. Dozie, Christian Chinwe Ibebuogu · Asian Journal of Probability and Statistics · 2023

Comparison of Trend Parameters and Seasonal Indices in the Presence and Absence of Missing Values of Exponential Trend-Cycle in Time Series Analysis

Kelechukwu C. N. Dozie, Christian Chinwe Ibebuogu · Asian Journal of Probability and Statistics · 2023

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