tau from tails_checks.json (K) 4.029194366197183
u + tau ln 355 (K) 33.6599039150006
limit tau/sigma^2 at sigma 0.3 (K) 44.76882629107981
limit tau/sigma^2 at sigma 0.4 (K) 25.18246478873239
sigma at which the limit is 30.0 K: 0.36647848350652107
sigma at which the limit is 20.0 K: 0.44884264314997874
R at sigma 0.3 tau_t 4.029 y 10.0 : 1.2038717118125701
R at sigma 0.3 tau_t 4.029 y 27.0 : 1.496368583556594
y at which R = 1.2 sigma 0.3 tau_t 4.029 : 9.794786526273354
y at which R = 1.5 sigma 0.3 tau_t 4.029 : 27.228295487982464
R at sigma 0.3 tau_t 4.0 y 10.0 : 1.2052461877096636
R at sigma 0.3 tau_t 4.0 y 27.0 : 1.4995035491654947
y at which R = 1.2 sigma 0.3 tau_t 4.0 : 9.723816362344245
y at which R = 1.5 sigma 0.3 tau_t 4.0 : 27.03100720721096
mean excess of y over tau_t at sigma 0.15 tau_t 2.0 thresholds 0, 2, 5, 10, 15 K: [1.0113, 1.0338, 1.0667, 1.1194, 1.1699]
mean excess of y over tau_t at sigma 0.15 tau_t 3.0 thresholds 0, 2, 5, 10, 15 K: [1.0113, 1.0264, 1.0485, 1.0845, 1.1194]
mean excess of y over tau_t at sigma 0.15 tau_t 4.0 thresholds 0, 2, 5, 10, 15 K: [1.0113, 1.0226, 1.0394, 1.0667, 1.0933]
mean excess of y over tau_t at sigma 0.2 tau_t 2.0 thresholds 0, 2, 5, 10, 15 K: [1.0202, 1.0602, 1.1176, 1.2074, 1.2918]
mean excess of y over tau_t at sigma 0.2 tau_t 3.0 thresholds 0, 2, 5, 10, 15 K: [1.0202, 1.047, 1.0861, 1.1482, 1.2074]
mean excess of y over tau_t at sigma 0.2 tau_t 4.0 thresholds 0, 2, 5, 10, 15 K: [1.0202, 1.0404, 1.07, 1.1176, 1.1633]
mean excess of y over tau_t at sigma 0.3 tau_t 2.0 thresholds 0, 2, 5, 10, 15 K: [1.046, 1.1361, 1.2594, 1.444, 1.6116]
mean excess of y over tau_t at sigma 0.3 tau_t 3.0 thresholds 0, 2, 5, 10, 15 K: [1.046, 1.1069, 1.1924, 1.3233, 1.444]
mean excess of y over tau_t at sigma 0.3 tau_t 4.0 thresholds 0, 2, 5, 10, 15 K: [1.046, 1.092, 1.1575, 1.2594, 1.3543]
mean excess of y over tau_t at sigma 0.37 tau_t 2.0 thresholds 0, 2, 5, 10, 15 K: [1.0708, 1.208, 1.3891, 1.6533, 1.8893]
mean excess of y over tau_t at sigma 0.37 tau_t 3.0 thresholds 0, 2, 5, 10, 15 K: [1.0708, 1.1642, 1.2913, 1.4813, 1.6533]
mean excess of y over tau_t at sigma 0.37 tau_t 4.0 thresholds 0, 2, 5, 10, 15 K: [1.0708, 1.1416, 1.2399, 1.3891, 1.5257]
mean excess of y over tau_t at sigma 0.4 tau_t 2.0 thresholds 0, 2, 5, 10, 15 K: [1.0833, 1.2437, 1.4522, 1.7535, 2.0213]
mean excess of y over tau_t at sigma 0.4 tau_t 3.0 thresholds 0, 2, 5, 10, 15 K: [1.0833, 1.1927, 1.34, 1.5576, 1.7535]
mean excess of y over tau_t at sigma 0.4 tau_t 4.0 thresholds 0, 2, 5, 10, 15 K: [1.0833, 1.1664, 1.2806, 1.4522, 1.6083]