This book aims to put strong reasonable mathematical senses in notions of objectivity and subjectivity for consistent estimations in a Polish group by using the

The estimation of noisily observed states from a sequence of data has traditionally incorporated ideas from Hilbert spaces and calculus-based probability theory

This is a graduate level textbook on measure theory and probability theory. The book can be used as a text for a two semester sequence of courses in measure the

A concise introduction covering all of the measure theory and probability most useful for statisticians.

"...the text is user friendly to the topics it considers and should be very accessible...Instructors and students of statistical measure theoretic courses will