This paper discusses a randomized Logistic equation N(t)=(r+αB(t))N(t)[1-(N(t)/K)] with an initial value N(0)=N0,and N0 is a random variable satisfying 0<N0<K.The existence, uniqueness and global attractivity of positive solutions and maximum likelihood estimate(MLE)of the parameters of the equation are studied.
Da-qing JIANGBao-xue ZHANGDe-hui WANGNing-zhong SHI
This paper discusses the maximum likelihood estimate of β under linear inequalities A0β≥ a in a linear model with missing data, proposes the restricted EM algo rithm and proves the convergence.
ZHENG Shurong, SHI Ningzhong & GUO Jianhua School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China