TY - JOUR AU - Mangku, I Wayan AU - -, Siswadi AU - Budiarti, Retno PY - 2012/05/07 Y2 - 2024/03/29 TI - CONSISTENCY OF A KERNEL-TYPE ESTIMATOR OF THE INTENSITY OF THE CYCLIC POISSON PROCESS WITH THE LINEAR TREND JF - Journal of the Indonesian Mathematical Society JA - JIMS VL - 15 IS - 1 SE - Articles DO - 10.22342/jims.15.1.42.37-48 UR - http://jims-a.org/index.php/jimsa/article/view/42 SP - 37-48 AB - <p>A consistent kernel-type nonparametric estimator of the intensity function of a cyclic Poisson process in the presence of linear trend is constructed and investigated. It is assumed that only a single realization of the Poisson process is observed in a bounded window. We prove that the proposed estimator is consistent when the size of the window in definitely expands.</p><p>DOI : <a href="http://dx.doi.org/10.22342/jims.15.1.42.37-48" target="_self">http://dx.doi.org/10.22342/jims.15.1.42.37-48</a></p> ER -