European Journal of Statistics and Probability (EJSP)

EA Journals

Model

Decompositions of Sum-Symmetry Model for Ordinal Square Contingency Tables (Published)

For ordinal square contingency tables, Yamamoto, Tanaka and Tomizawa (2013) proposed the sum-symmetry model and gave a decomposition of it. The present paper proposes three kinds of extended sum-symmetry models, and gives two another decompositions of the sum-symmetry model using these models. Audiometry data are analyzed.

Keywords: Decomposition, Model, Square Contingency Table, Sum-Symmetry

MODELLING THE VOLATILITY OF EXCHANGE RATES IN RWANDESE MARKETS (Published)

This work applied Generalized Autoregressive Conditional Heteroskedasticity (GARCH) approach to modelling volatility in Rwanda Exchange rate returns. The Autoregressive (AR) model with GARCH errors was fitted to the daily exchange rate returns using Quasi-Maximum Likelihood Estimation (Q-MLE) method to get the current volatility. Asymptotic consistency and asymptotic normality of estimated parameters were given. Akaike Information criterion was used for appropriate GARCH model selection while Jarque Bera test used for normality testing revealed that both returns and residuals have fat tails behaviour. It was shown that the estimated model fits Rwanda exchange rate returns data well.

Keywords: Exchange Rate, GARCH model, Model, Quasi Maximum Likelihood, Volatility

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