Confidence Interval for Parameters Estimates in Circular Simultaneous Functional Relationship Model (CSFRM) for Equal Variances using Normal Asymptotic and Bootstrap Confidence Intervals

Few studies have considered the functional relationship model for circular variables. Anuar has proposed a new of Circular Simultaneous Functional Relationship Model equal variances. However, confidence interval all parameter estimates in this not received any consideration literature. This paper proposes von Mises distribution model. The parameters are estimated using minimum sum (ms) and polyroot function provided (built-in package) Splus statistical software. may be obtained from estimation. Those estimation values by minimizing negative value log-likelihood function. Then, based on bootstrap method will compared with normal asymptotic via simulation studies. It is found that superior measuring performance coverage probability expected length. intervals illustrated real wind direction data Bayan Lepas collected at 16.3 m above ground level, latitude 05°18’N longitude 100°16’E. results showed estimate fall between interval, we note works well