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A maximum of the likelihood function occurs at the same parameter-value as a maximum of the logarithm of the likelihood (the "log likelihood"), because the logarithm is an increasing function. The log-likelihood is easier to maximize, especially for the multiplied likelihoods for independent random variables.
The natural logarithm of x is generally written as ln x, log e x, or sometimes, if the base e is implicit, simply log x. Parentheses are sometimes added for clarity, giving ln(x), log e (x), or log(x). This is done particularly when the argument to the logarithm is not a single symbol, so as to prevent ambiguity.
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Also, ₹38.354 crore (4.32%) was garnered from sale of coupons while ₹21.293 crore (2.4%) was received by the regional parties in form of donations each amounting to less than ₹20,000. According the information given by 27 out of 54 recognized regional parties to Election Commission of India by May 2023, DMK received 96.01% (₹306.025 ...