Introduction to Central Limit Theorem + α
In short, CLT (Central Limit Theorem) theoretically supports the intuitive phenomena. Averaging things out ten … 続きを読む
Probability Theory
Conditionally i.i.d.の謎
応用の文脈では、サンプリングの際に(現実の世界で)そのサンプルが表す実体とは別に、サンプルに対応した取り得る値の空間 (range space)[1]例えばYES/NOで回答する問いについて調査をする例の場合、 {0,1 … 続きを読む
Note on Laplace transform and its uniqueness
The uniqueness property is often employed when some of the important statistical instruments are to be shown, … 続きを読む
Carathéodory condition and its implication: Inclusion-Exclusion Identity
A note on the theoretical background of statistics.
Note on statistic and random variable
Seeking for an appropriate convention regarding the definition.
Measure theory: convergences and inequalities summary
We summarized classical (yet prominent) results in measure theory for easy reference. Please consult the proof … 続きを読む