@article{oai:ynu.repo.nii.ac.jp:00006836,
 author = {Isogai, Eiichi},
 issue = {2},
 journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学},
 month = {},
 note = {application/pdf, Let ＄f_{n}(x)＄ be the recursive kernel estimators of an unknown density function ＄f(x)＄ at a given point ＄x＄ . Also, let ＄N(t)(t>0)＄ be a family of positive integer-valued random variables. We consider the sequential estimators ＄f_{N(t)}(x)＄ . In this paper, under certain regularity conditions on ＄N(t)＄ we shall show that ＄(N(t)h_{N(t)}^{p})^{1/2}(f_{N(i)}(x)-f(x))＄ is asymptotically normally distributed as ＄t＄ tends to infinity. Our conditions on ＄N(t)＄ generalize those given by Carroll [2], Stute [9] and Isogai [6].},
 pages = {115--124},
 title = {A NOTE ON THE ASYMPTOTIC NORMALITY OF SEQUENTIAL DENSITY ESTIMATORS},
 volume = {39},
 year = {1992}
}