Lihat sumber bagi Nilai jangkaan

{{Asas kebarangkalian}}

Dalam [[teori kebarangkalian]], '''nilai jangkaan''' (juga dipanggil '''jangkaan''', '''jangkaan matematik''', '''min''', '''purata''', atau '''momen pertama''') ialah generalisasi bagi [[purata wajaran]]. Secara tidak formal, nilai jangkaan ialah [[min aritmetik]] bagi sebilangan besar [[Eksperimen (teori kebarangkalian)|hasil]] daripada [[pemboleh ubah rawak]] yang dipilih [[Bebas (teori kebarangkalian)|secara bebas]].

Nilai jangkaan bagi [[pemboleh ubah rawak]] dengan bilangan hasil terhingga ialah [[purata wajaran]] daripada semua hasil yang mungkin.  Dalam kes kontinum hasil yang mungkin, jangkaan ditakrifkan oleh [[Kamiran|pengamiran]]. Dalam asas aksiomatik untuk kebarangkalian yang disediakan oleh [[teori ukuran]], jangkaan diberikan oleh [[pengamiran Lebesgue]].

Nilai jangkaan pemboleh ubah rawak {{mvar|X}} selalunya dilambangkan dengan {{math|E(''X'')}}, {{math|E[''X'']}}, atau {{math|E''X''}}, dengan {{math|E}} juga sering digayakan sebagai {{mvar|E}} atau <math>\mathbb{E}.</math><ref>{{Cite web|title=Expectation {{!}} Mean {{!}} Average|url=https://www.probabilitycourse.com/chapter3/3_2_2_expectation.php|access-date=2020-09-11|website=www.probabilitycourse.com}}</ref><ref>{{Cite web|last=Hansen|first=Bruce|title=PROBABILITY AND STATISTICS FOR ECONOMISTS|url=https://ssc.wisc.edu/~bhansen/probability/Probability.pdf|url-status=live|access-date=2021-07-20}}</ref><ref>{{cite book |last1=Wasserman |first1=Larry |title=All of Statistics: a concise course in statistical inference |date=December 2010 |publisher=Springer texts in statistics |isbn=9781441923226 |page=47}}</ref>

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== Rujukan ==
{{Reflist}}

==Kesusasteraan==
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*{{cite book|last1=Ross|first1=Sheldon M.|title=Introduction to probability models|edition=Twelfth edition of 1972 original|publisher=[[Academic Press]]|location=London|year=2019|isbn=978-0-12-814346-9|mr=3931305|author-link1=Sheldon M. Ross|doi=10.1016/C2017-0-01324-1}}
{{refend}}

==Pautan luar==
{{Cite web|title=Expected Value {{!}} Brilliant Math & Science Wiki|url=https://brilliant.org/wiki/expected-value/|access-date=2020-08-21|website=brilliant.org|language=en-us}}

{{DEFAULTSORT:Nilai Jangkaan}}
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