Divergence using beta (2,2) for measurement noise scale's prior

[hyunjimoon]

Using beta distribution for measurement noise scale's prior, I faced the following divergence. Perhaps the upper bound of beta as 1 was too small, meaning measurement noise scale can be over 1 from the synthetic data.

	Exception: beta_lpdf: Random variable is 1, but must be in the interval [0, 1] (in '/Users/hyunjimoon/Dropbox/15879-Fall2022/Homeworks/HW7/stanify/stan_files/HW7_estag_mnoisebeta22_pnoisedot01/HW7_estag_mnoisebeta22_pnoisedot01_data2draws.stan', line 45, column 4 to column 31)
	Exception: beta_lpdf: Random variable is 1, but must be in the interval [0, 1] (in '/Users/hyunjimoon/Dropbox/15879-Fall2022/Homeworks/HW7/stanify/stan_files/HW7_estag_mnoisebeta22_pnoisedot01/HW7_estag_mnoisebeta22_pnoisedot01_data2draws.stan', line 45, column 4 to column 31)
Consider re-running with show_console=True if the above output is unclear!
17:24:11 - cmdstanpy - WARNING - Some chains may have failed to converge.
	Chain 1 had 89 divergent transitions (35.6%)
	Chain 2 had 71 divergent transitions (28.4%)
	Chain 3 had 86 divergent transitions (34.4%)
	Chain 4 had 65 divergent transitions (26.0%)