@article{oai:ynu.repo.nii.ac.jp:00006831, author = {Takahata, Hiroshi}, issue = {1}, journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学}, month = {}, note = {application/pdf, Let $¥{X_{t} : t¥geqq 0¥}$ be a stochastic process with continuous time paramenter and $m(¥cdot)$ a measure on $ R_{+}=[0, ¥infty$). For large $T$ the value of the integral $¥int_{0}^{T}X_{t}m(dt)$ is approximated by $¥int_{0}^{T}X_{t}N(dt)$ , where $N$ is the Poisson random process with mean measure $m(¥cdot)$ . The strong law and the law of the iterated logarithm of large numbers are proved for the difference of these two integrals under very mild conditions. Any structures for $¥{X_{t}¥}$ such as stationarity, ergodicity and mixing properties are not assumed.}, pages = {37--48}, title = {STRONG LAWS FOR THE POISSON SAMPLED STOCHASTIC PROCESSES}, volume = {39}, year = {1991} }