#16 or more generally to have some idea of how difficult to win a given pairing within given pool would be.
about same strength being particular case. And not mandatory, is it? (i lost track of how paring evolved over past 2 years, playing correspondence and have reduced my random pairing to almost nothing.
Also, as a longitudinal measure of my evolution, it could give me some idea of whether i have improved or not. hopefully. Not sure though. But really game struggle or challenge effort expectation is most likely the main usage.
Variation on the "about same" though. is +_200 within that?
I think i would like sometimes how bad i could be beaten.... or how much time i would have to put in my daily move (not game) to maintain some resistance and for how long in a game. So depending on the time-control (correspondence does exist on lichess), it is not just about the same but more about the difficulty.
But I do agree it is not meant to be external referential between different pools of potential pairs.... Although with large population the input control into such statistics meant to obtain a certain average and deviation, and knowing the emergent distribution behaviour for each pool at lest in standard deviation of the population in the pool, could allow some transposition. I would not expect it to be linear and with certainty. The prior individual rating probabilities (belief) (initial condition in prob. space, from some other type of mathematics point of view), is an input for those computing them within a community. So knowing those, and following the theory as to the stationary distribution characteristics, one could do the above. or try.
Not having stipulated such population distribution as a parameterized family does not prevent from making statistics on it, and probably establish piece-wise relations... but that would need work.
one would have to go into each rating foundation models, study how pairing probability constraints are, and the actual demographics of their population where each rating is used, to really be sure. lots of research, if it has not been done anywhere (has it?).
#16 or more generally to have some idea of how difficult to win a given pairing within given pool would be.
about same strength being particular case. And not mandatory, is it? (i lost track of how paring evolved over past 2 years, playing correspondence and have reduced my random pairing to almost nothing.
Also, as a longitudinal measure of my evolution, it could give me some idea of whether i have improved or not. hopefully. Not sure though. But really game struggle or challenge effort expectation is most likely the main usage.
Variation on the "about same" though. is +_200 within that?
I think i would like sometimes how bad i could be beaten.... or how much time i would have to put in my daily move (not game) to maintain some resistance and for how long in a game. So depending on the time-control (correspondence does exist on lichess), it is not just about the same but more about the difficulty.
But I do agree it is not meant to be external referential between different pools of potential pairs.... Although with large population the input control into such statistics meant to obtain a certain average and deviation, and knowing the emergent distribution behaviour for each pool at lest in standard deviation of the population in the pool, could allow some transposition. I would not expect it to be linear and with certainty. The prior individual rating probabilities (belief) (initial condition in prob. space, from some other type of mathematics point of view), is an input for those computing them within a community. So knowing those, and following the theory as to the stationary distribution characteristics, one could do the above. or try.
Not having stipulated such population distribution as a parameterized family does not prevent from making statistics on it, and probably establish piece-wise relations... but that would need work.
one would have to go into each rating foundation models, study how pairing probability constraints are, and the actual demographics of their population where each rating is used, to really be sure. lots of research, if it has not been done anywhere (has it?).