The estimators of a probability events by incomplete observations
There is considered a problem of statistical estimation of a probability of the product of two events on the basis of complete and incomplete observations. The estimators with using additional information by incomplete observations are suggested and investigated. * 0, ( ) 0, ( ) ( ) ( ) 0. ( ) ( ), ( ) <i>n n XY n n m n P B n P A B P A B n m P B P A B m P B n m P B </i>=  +  = +   + + Here <i>Pn</i>(<i>A×B</i>) and <i>Pn</i>(<i>B</i>), <i>Pm</i>(<i>B</i>) are empirical probabilities, <i>n </i>is a size incomplete observations, <i>m </i>is a size complete observations. The results are illustrated by numerical examples. There is considered a problem of statistical estimation of a probability of the product of two events on the basis of complete and incomplete observations. The estimators with using additional information by incomplete observations are suggested and investigated.