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Disclaimer

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Academic character

This portal is a theoretical academic reference on mathematical statistics and probability theory. It is written for study and for citation. The material is expository: it sets out definitions, derives properties, and explains the shape of classical arguments. It is not a manual, not a guide to practice, and not a substitute for a textbook on the subject.

Independence

The reference is not affiliated with any standards body or institution. It speaks for no one but its own editorial office, and it represents no association, no institute and no authority. Where a result carries a name, the name is used only to identify the result.

No distribution of files

No files, datasets or products are distributed or hosted on this site. The pages contain only explanatory prose and self-drawn figures. There is nothing to obtain, nothing to collect and nothing to take away beyond what may be read on the screen.

Educational purpose only

The material is for educational and scientific study only. No professional guidance of any kind is provided, and none is implied. A reader who needs guidance on a particular matter should seek it from a qualified party, and should not treat any page here as a substitute for that guidance.

Accuracy

The editorial office reviews every page with care, yet it makes no promise that a page is without error. A reader who notices a mistake is invited to report it, and an accepted correction is folded into the page on the next review. The presence of a formula on a page is not a promise that it fits every situation.

Responsibility

A reader uses the material at their own discretion. The editorial office accepts no responsibility for a loss arising from the use of the reference or from reliance on any statement within it. This reading does not apply where a rule of law forbids such a limitation.

Reading together

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No professional relationship

Reading a page here creates no relationship of any kind between the reader and the editorial office. No duty of care arises from the reading, and no engagement is formed by the sending of a note. The office reads a note and may reply to it, and that reply is given in the same spirit as the pages themselves, as commentary on general material rather than as guidance on a particular matter.

Third-party names

Where a theorem or a method carries the name of a person, the name is used only to identify the result. Its appearance implies no connection with that person, with any estate or with any body that bears a similar name, and it should not be read as a claim of approval or support in either direction.