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Fay's method is a generalization of BRR. Instead of simply taking half-size samples, we use the full sample every time but with unequal weighting: k for units outside the half-sample and 2 − k for units inside it. (BRR is the case k = 0.) The variance estimate is then V/(1 − k) 2, where V is the estimate given by the BRR formula above.
An early example of the dominant balance method is the Newton polygon method. Newton developed this method to find an explicit approximation for an algebraic function . Newton expressed the function as proportional to the independent variable raised to a power , retained only the lowest-degree polynomial terms (dominant terms), and solved this ...
The simple Dietz method [1] is a means of measuring historical investment portfolio performance, compensating for external flows into/out of the portfolio during the period. [2] The formula for the simple Dietz return is as follows: = + / where is the portfolio rate of return,
A Markov process is called a reversible Markov process or reversible Markov chain if there exists a positive stationary distribution π that satisfies the detailed balance equations [13] =, where P ij is the Markov transition probability from state i to state j, i.e. P ij = P(X t = j | X t − 1 = i), and π i and π j are the equilibrium probabilities of being in states i and j, respectively ...
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The modified Dietz method [1] [2] [3] is a measure of the ex post (i.e. historical) performance of an investment portfolio in the presence of external flows. (External flows are movements of value such as transfers of cash, securities or other instruments in or out of the portfolio, with no equal simultaneous movement of value in the opposite direction, and which are not income from the ...
The Harris–Benedict equation (also called the Harris-Benedict principle) is a method used to estimate an individual's basal metabolic rate (BMR).. The estimated BMR value may be multiplied by a number that corresponds to the individual's activity level; the resulting number is the approximate daily kilocalorie intake to maintain current body weight.
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