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Hi,
IIRC, Maximum Likelihood Estimators ( MLEs) satisfy an " Inheritance" property , so that if ##m_1,m_2,..,m_n## are MLEs for ##M_1,M_2,...,M_n## respectfully and f is a Random Variable of the ##M_i##, then the MLE for f is given by ##f(m_1,m_2,...,m_n)##. Is this correct? If so, is there a " Standard" name for this property?
For context sake, I am trying to find the MLE for an RV X/Y ( where Y>0) by finding MLE ( X), MLE (Y) , so that by inheritance MLE(X/Y)= MLE(X)/MLE(Y).
Thanks.
IIRC, Maximum Likelihood Estimators ( MLEs) satisfy an " Inheritance" property , so that if ##m_1,m_2,..,m_n## are MLEs for ##M_1,M_2,...,M_n## respectfully and f is a Random Variable of the ##M_i##, then the MLE for f is given by ##f(m_1,m_2,...,m_n)##. Is this correct? If so, is there a " Standard" name for this property?
For context sake, I am trying to find the MLE for an RV X/Y ( where Y>0) by finding MLE ( X), MLE (Y) , so that by inheritance MLE(X/Y)= MLE(X)/MLE(Y).
Thanks.