Logprob derivation for Max of continuous IID variables #2691

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Job	Run time
Check for changes	23s
float32 (windows-latest, float32, 3.11, tests/sampling/test_mcmc.py tests/ode/test_ode.py tests/o...	30m 26s
macos (macos-latest, float64, 3.9, tests/sampling/test_parallel.py tests/test_data.py tests/varia...	25m 15s
macos (macos-latest, float64, 3.9, tests/sampling/test_mcmc.py )	29m 22s
macos (macos-latest, float64, 3.9, tests/backends/test_arviz.py tests/variational/test_updates.py )	22m 4s
external_samplers (ubuntu-20.04, float64, 3.10, tests/sampling/test_jax.py tests/sampling/test_mc...	10m 5s
ubuntu (ubuntu-20.04, float64, 3.11, tests/test_util.py tests/test_pytensorf.py tests/test_math.p...	26m 53s
ubuntu (ubuntu-20.04, float64, 3.11, tests/distributions/test_continuous.py tests/distributions/t...	31m 47s
ubuntu (ubuntu-20.04, float64, 3.11, tests/distributions/test_bound.py tests/distributions/test_c...	30m 5s
ubuntu (ubuntu-20.04, float64, 3.11, tests/tuning/test_scaling.py tests/tuning/test_starting.py t...	17m 9s
ubuntu (ubuntu-20.04, float64, 3.11, tests/distributions/test_timeseries.py tests/gp/test_cov.py ...	23m 19s
ubuntu (ubuntu-20.04, float64, 3.11, tests/backends/test_mcbackend.py tests/distributions/test_tr...	19m 34s
windows (windows-latest, float64, 3.8, tests/variational/test_approximations.py tests/variational...	20m 41s
windows (windows-latest, float64, 3.8, tests/test_model.py tests/sampling/test_mcmc.py)	32m 25s
windows (windows-latest, float64, 3.8, tests/gp/test_cov.py tests/gp/test_gp.py tests/gp/test_mea...	25m 35s
windows (windows-latest, float64, 3.8, tests/step_methods/test_metropolis.py tests/step_methods/t...	33m 24s
all_tests	1s
	6h 18m 28s