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The lower weighted median is 2 with partition sums of 0.49 and 0.5, and the upper weighted median is 3 with partition sums of 0.5 and 0.25. In the case of working with integers or non-interval measures, the lower weighted median would be accepted since it is the lower weight of the pair and therefore keeps the partitions most equal. However, it ...
In other words, we split the distribution into all values greater or equal to the median and all values less than or equal to the median. We define a kernel function whose first variable is over the p {\displaystyle p} greater values and whose second variable is over the q {\displaystyle q} lesser values.
The median of the 32-element set L' is the average of the 16th smallest element, 4, and 17th smallest element, 8, so the N50 is 6. We can see that the sum of all values in the list L that are smaller than or equal to the N50 of 6 is 16 = 2+2+2+3+3+4 and the sum of all values in the list L that are larger than or equal to 6 is also 16 = 8+8.
A winsorized mean is a winsorized statistical measure of central tendency, much like the mean and median, and even more similar to the truncated mean.It involves the calculation of the mean after winsorizing — replacing given parts of a probability distribution or sample at the high and low end with the most extreme remaining values, [1] typically doing so for an equal amount of both ...
This equation is also equal to the weighted arithmetic mean of the proportional abundances p i of the types of interest, with the proportional abundances themselves being used as the weights. [2] Proportional abundances are by definition constrained to values between zero and one, but it is a weighted arithmetic mean, hence λ ≥ 1/ R , which ...
From January 2008 to June 2009, if you bought shares in companies when Eugene I. Davis joined the board, and sold them when he left, you would have a -61.6 percent return on your investment, compared to a -39.2 percent return from the S&P 500.
The second form above illustrates that the logarithm of the geometric mean is the weighted arithmetic mean of the logarithms of the individual values. If all the weights are equal, the weighted geometric mean simplifies to the ordinary unweighted geometric mean. [1]
— The index represents 19 commodities, which are weighted to account for economic significance and market liquidity. — Weighting restrictions on individual commodities and commodity groups promote diversification. Performance Total Return (%) Annualized Total Return (%) Index Name 1-Month 3-Month YTD 2010 1-Year 3-Year 5-Year 10-Year Since ...
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