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"Optimal prediction of positive-valued spatial processes: Asymmetric po" by Alan R. Pearse, Noel Cressie et al.

This article studies the use of asymmetric loss functions for the optimal prediction of positive-valued spatial processes. We focus on the family of power-divergence loss functions with properties such as continuity, convexity, connections to well known divergence measures, and the ability to control the asymmetry and behaviour of the loss function via a power parameter. The properties of power-divergence loss functions, optimal power-divergence (OPD) spatial predictors, and related measures of uncertainty quantification are studied. In addition, we examine in general the notion of asymmetry in loss functions defined for positive-valued spatial processes and define an asymmetry measure, which we apply to the family of power-divergence loss functions and other common loss functions. The paper concludes with a simulation study comparing the optimal power-divergence predictor to predictors derived from other common loss functions. Finally, we illustrate OPD spatial prediction on a dataset

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Transcripts for FOXNEWS FOX and Friends Sunday 20240604 11:11:00

Superstitious. and because he has such a decisive lead right now, he s afraid that, you know, people may not show up and it could cost him in iowa. so i think every vote is going to matter here. you saw nikki haley out still trying to campaign. ron desantis and his mom actually out there campaigning, knocking on doors for him from the last stretch. but from what i hear on the ground, it still seems like donald trump has the majority of the energy here. will: thank you so much, lawrence rachel: hey, lj, really quick, you know i think you re the best dressed man at fox news, and i just want to tell you, i love the shirt that you re wearing. pete: he s going hunting. [laughter] rachel: i think it looks so sharp. it looks good on tv, beautiful orange will: be with safe in the forest. rachel: i love it. [laughter] i thought i would try a little something different told. i m glad you approve of it, rachel rachel: i do. pete: you re one for three. rachel: orange is your color.

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Transcripts for FOXNEWS FOX and Friends Sunday 20240604 11:13:00

That s an amazing trajectory for a man that young who a lot of people didn t know a year ago. and i also think his future is very bright in the party, and i think lj s right, there s no room for, like, maga trump jr. when the king is still on the stage. but that is the future of maga, in my view. pete: well, that s ooh we ll continue covering the story, but let s move over to, if you were watching the channel last night a little bit, there was a raucous protest outside the white house when and in new york city because it was the 100-day mark of the war in israel, of the hamas attack on israel which has led to a response. so much so that the gates outside the white house were temporarily disabled because of all the shaking of the pro-hamas, pro-palestinian protests outside the white house. it is indicative of the intractable nature of what s going on not only on the ground in israel as there s not a

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