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Which of the tools for decision making (quantitative methods, qualitative methods, and triangulation methods) should be used in developing operating procedures? Justify and explain your response.

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The triangulation method is the best tool to use when it comes to decision making for developing operating procedures. This is because a person can use both quantiative and qualitative in order to keep ...

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This solution provided ways in which certain tools are used in developing operating procedures, such as quantitative, qualitative, or triangulation methods.

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Sufficiency and Order Statistics

Let Y1<Y2<...<Yn be the order statistics of a random sample of size n from the uniform distribution over the closed interval [-theta, theta ]
having pdf f(x; theta ) = (1/2(theta))I[-theta , theta ](x).

Argue that the mle of theta; equals theta;hat= max(-Y1, Yn).
Demonstrate that the mle theta;hat is a sufficient statistic for theta;.
Define at least two ancillary statistics for this distribution

See attachment for better symbol representation.

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