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<\/p>\n\n\nWe’re not the internet police, so if you don’t want to be nude, just exit your browser now. If you think we’ve abused our power, let us know.Q:\nHow to explain the difference between the number of MLE and maximum likelihood?\nI often see in some of the texts or articles that many authors use the following expression:\nIf $P(X=x)=P(Y=y)$, then the maximum likelihood estimate, MLE of $\\theta$ is $\\hat{\\theta}=x\/y$ and the maximum likelihood ratio is $\\Lambda=y$\nI wonder why we say that maximum likelihood estimate is the same as the ratio of the expected value?\nA:\nFor a random sample $X_1,\\dots,X_n$ from $N(\\theta,\\sigma^2)$, the expected value of the likelihood function is\n$$L(\\theta)=N\\left(\\theta,\\frac{\\sigma^2}{n}\\right).$$\nThe ratio $\\Lambda=y$ is just the MLE minus the value $y$ of the likelihood function evaluated at $\\theta$\n$$\\Lambda=\\hat{\\theta}-y.$$\nRegarding that $\\Lambda$ is the likelihood function minus $y$, the author of the text is dealing with the likelihood function and in that case, the ratio $\\Lambda$ is the definition of the MLE and is not needed to describe it.\nJapanese TV series feature same-sex couple\nTOKYO, Japan \u2014 Japanese television is getting its first same-sex romance with a drama starring a shaggy-haired comedian as an older woman and her gay best friend.\nWhy not? There\u2019s a 30-year age difference between this couple and the gay friend\u2019s dating partner. And why shouldn\u2019t someone in their 30s be interested in a gay friend?\nBut first, the show has to be allowed on Japanese airwaves. In this country, it seems unthinkable that people could be friends with their sexual orientation.\n\u201cPorno Star Love\u201d premiered on Tokyo Broadcasting System (TBS) and other stations Tuesday. It\u2019s the same year as the 2016 Oscar-winning film \u201cLa La Land,\u201d which deals with the same issue in Hollywood.<\/p>","protected":false},"excerpt":{"rendered":"
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