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| 1 | +data { |
| 2 | + int<lower=0> N; //response variable size |
| 3 | + int<lower=0> J; //number of observations |
| 4 | + vector[N] y[J]; |
| 5 | + vector[N] z[J]; |
| 6 | + matrix[N, N] sigma; |
| 7 | +} |
| 8 | +transformed data { |
| 9 | + row_vector[N] ry[J]; |
| 10 | + row_vector[N] rz[J]; |
| 11 | + matrix[N, N] inv_sigma; |
| 12 | + for (n in 1:N) |
| 13 | + for (j in 1:J) { |
| 14 | + ry[j][n] <- y[j][n]; |
| 15 | + rz[j][n] <- z[j][n]; |
| 16 | + } |
| 17 | + inv_sigma <- inverse_spd(sigma); |
| 18 | +} |
| 19 | +parameters { |
| 20 | + vector[N] beta[J]; |
| 21 | + row_vector[N] rbeta[J]; |
| 22 | +} |
| 23 | +model { |
| 24 | + y ~ multi_normal(beta, sigma); |
| 25 | + y ~ multi_normal(beta[1], sigma); |
| 26 | + y[1] ~ multi_normal(beta, sigma); |
| 27 | + y[1] ~ multi_normal(beta[1], sigma); |
| 28 | + y ~ multi_normal(z, sigma); |
| 29 | + y ~ multi_normal(z[1], sigma); |
| 30 | + y[1] ~ multi_normal(z, sigma); |
| 31 | + y[1] ~ multi_normal(z[1], sigma); |
| 32 | + |
| 33 | + y ~ multi_normal(rbeta, sigma); |
| 34 | + y ~ multi_normal(rbeta[1], sigma); |
| 35 | + y[1] ~ multi_normal(rbeta, sigma); |
| 36 | + y[1] ~ multi_normal(rbeta[1], sigma); |
| 37 | + y ~ multi_normal(rz, sigma); |
| 38 | + y ~ multi_normal(rz[1], sigma); |
| 39 | + y[1] ~ multi_normal(rz, sigma); |
| 40 | + y[1] ~ multi_normal(rz[1], sigma); |
| 41 | + |
| 42 | + ry ~ multi_normal(beta, sigma); |
| 43 | + ry ~ multi_normal(beta[1], sigma); |
| 44 | + ry[1] ~ multi_normal(beta, sigma); |
| 45 | + ry[1] ~ multi_normal(beta[1], sigma); |
| 46 | + ry ~ multi_normal(z, sigma); |
| 47 | + ry ~ multi_normal(z[1], sigma); |
| 48 | + ry[1] ~ multi_normal(z, sigma); |
| 49 | + ry[1] ~ multi_normal(z[1], sigma); |
| 50 | + |
| 51 | + ry ~ multi_normal(rbeta, sigma); |
| 52 | + ry ~ multi_normal(rbeta[1], sigma); |
| 53 | + ry[1] ~ multi_normal(rbeta, sigma); |
| 54 | + ry[1] ~ multi_normal(rbeta[1], sigma); |
| 55 | + ry ~ multi_normal(rz, sigma); |
| 56 | + ry ~ multi_normal(rz[1], sigma); |
| 57 | + ry[1] ~ multi_normal(rz, sigma); |
| 58 | + ry[1] ~ multi_normal(rz[1], sigma); |
| 59 | + |
| 60 | + |
| 61 | + |
| 62 | + y ~ multi_normal_cholesky(beta, sigma); |
| 63 | + y ~ multi_normal_cholesky(beta[1], sigma); |
| 64 | + y[1] ~ multi_normal_cholesky(beta, sigma); |
| 65 | + y[1] ~ multi_normal_cholesky(beta[1], sigma); |
| 66 | + y ~ multi_normal_cholesky(z, sigma); |
| 67 | + y ~ multi_normal_cholesky(z[1], sigma); |
| 68 | + y[1] ~ multi_normal_cholesky(z, sigma); |
| 69 | + y[1] ~ multi_normal_cholesky(z[1], sigma); |
| 70 | + |
| 71 | + y ~ multi_normal_cholesky(rbeta, sigma); |
| 72 | + y ~ multi_normal_cholesky(rbeta[1], sigma); |
| 73 | + y[1] ~ multi_normal_cholesky(rbeta, sigma); |
| 74 | + y[1] ~ multi_normal_cholesky(rbeta[1], sigma); |
| 75 | + y ~ multi_normal_cholesky(rz, sigma); |
| 76 | + y ~ multi_normal_cholesky(rz[1], sigma); |
| 77 | + y[1] ~ multi_normal_cholesky(rz, sigma); |
| 78 | + y[1] ~ multi_normal_cholesky(rz[1], sigma); |
| 79 | + |
| 80 | + ry ~ multi_normal_cholesky(beta, sigma); |
| 81 | + ry ~ multi_normal_cholesky(beta[1], sigma); |
| 82 | + ry[1] ~ multi_normal_cholesky(beta, sigma); |
| 83 | + ry[1] ~ multi_normal_cholesky(beta[1], sigma); |
| 84 | + ry ~ multi_normal_cholesky(z, sigma); |
| 85 | + ry ~ multi_normal_cholesky(z[1], sigma); |
| 86 | + ry[1] ~ multi_normal_cholesky(z, sigma); |
| 87 | + ry[1] ~ multi_normal_cholesky(z[1], sigma); |
| 88 | + |
| 89 | + ry ~ multi_normal_cholesky(rbeta, sigma); |
| 90 | + ry ~ multi_normal_cholesky(rbeta[1], sigma); |
| 91 | + ry[1] ~ multi_normal_cholesky(rbeta, sigma); |
| 92 | + ry[1] ~ multi_normal_cholesky(rbeta[1], sigma); |
| 93 | + ry ~ multi_normal_cholesky(rz, sigma); |
| 94 | + ry ~ multi_normal_cholesky(rz[1], sigma); |
| 95 | + ry[1] ~ multi_normal_cholesky(rz, sigma); |
| 96 | + ry[1] ~ multi_normal_cholesky(rz[1], sigma); |
| 97 | + |
| 98 | + |
| 99 | + |
| 100 | + y ~ multi_normal_prec(beta, sigma); |
| 101 | + y ~ multi_normal_prec(beta[1], sigma); |
| 102 | + y[1] ~ multi_normal_prec(beta, sigma); |
| 103 | + y[1] ~ multi_normal_prec(beta[1], sigma); |
| 104 | + y ~ multi_normal_prec(z, sigma); |
| 105 | + y ~ multi_normal_prec(z[1], sigma); |
| 106 | + y[1] ~ multi_normal_prec(z, sigma); |
| 107 | + y[1] ~ multi_normal_prec(z[1], sigma); |
| 108 | + |
| 109 | + y ~ multi_normal_prec(rbeta, sigma); |
| 110 | + y ~ multi_normal_prec(rbeta[1], sigma); |
| 111 | + y[1] ~ multi_normal_prec(rbeta, sigma); |
| 112 | + y[1] ~ multi_normal_prec(rbeta[1], sigma); |
| 113 | + y ~ multi_normal_prec(rz, sigma); |
| 114 | + y ~ multi_normal_prec(rz[1], sigma); |
| 115 | + y[1] ~ multi_normal_prec(rz, sigma); |
| 116 | + y[1] ~ multi_normal_prec(rz[1], sigma); |
| 117 | + |
| 118 | + ry ~ multi_normal_prec(beta, sigma); |
| 119 | + ry ~ multi_normal_prec(beta[1], sigma); |
| 120 | + ry[1] ~ multi_normal_prec(beta, sigma); |
| 121 | + ry[1] ~ multi_normal_prec(beta[1], sigma); |
| 122 | + ry ~ multi_normal_prec(z, sigma); |
| 123 | + ry ~ multi_normal_prec(z[1], sigma); |
| 124 | + ry[1] ~ multi_normal_prec(z, sigma); |
| 125 | + ry[1] ~ multi_normal_prec(z[1], sigma); |
| 126 | + |
| 127 | + ry ~ multi_normal_prec(rbeta, sigma); |
| 128 | + ry ~ multi_normal_prec(rbeta[1], sigma); |
| 129 | + ry[1] ~ multi_normal_prec(rbeta, sigma); |
| 130 | + ry[1] ~ multi_normal_prec(rbeta[1], sigma); |
| 131 | + ry ~ multi_normal_prec(rz, sigma); |
| 132 | + ry ~ multi_normal_prec(rz[1], sigma); |
| 133 | + ry[1] ~ multi_normal_prec(rz, sigma); |
| 134 | + ry[1] ~ multi_normal_prec(rz[1], sigma); |
| 135 | + |
| 136 | + |
| 137 | + |
| 138 | + y ~ multi_student_t(10, beta, sigma); |
| 139 | + y ~ multi_student_t(10, beta[1], sigma); |
| 140 | + y[1] ~ multi_student_t(10, beta, sigma); |
| 141 | + y[1] ~ multi_student_t(10, beta[1], sigma); |
| 142 | + y ~ multi_student_t(10, z, sigma); |
| 143 | + y ~ multi_student_t(10, z[1], sigma); |
| 144 | + y[1] ~ multi_student_t(10, z, sigma); |
| 145 | + y[1] ~ multi_student_t(10, z[1], sigma); |
| 146 | + |
| 147 | + y ~ multi_student_t(10, rbeta, sigma); |
| 148 | + y ~ multi_student_t(10, rbeta[1], sigma); |
| 149 | + y[1] ~ multi_student_t(10, rbeta, sigma); |
| 150 | + y[1] ~ multi_student_t(10, rbeta[1], sigma); |
| 151 | + y ~ multi_student_t(10, rz, sigma); |
| 152 | + y ~ multi_student_t(10, rz[1], sigma); |
| 153 | + y[1] ~ multi_student_t(10, rz, sigma); |
| 154 | + y[1] ~ multi_student_t(10, rz[1], sigma); |
| 155 | + |
| 156 | + ry ~ multi_student_t(10, beta, sigma); |
| 157 | + ry ~ multi_student_t(10, beta[1], sigma); |
| 158 | + ry[1] ~ multi_student_t(10, beta, sigma); |
| 159 | + ry[1] ~ multi_student_t(10, beta[1], sigma); |
| 160 | + ry ~ multi_student_t(10, z, sigma); |
| 161 | + ry ~ multi_student_t(10, z[1], sigma); |
| 162 | + ry[1] ~ multi_student_t(10, z, sigma); |
| 163 | + ry[1] ~ multi_student_t(10, z[1], sigma); |
| 164 | + |
| 165 | + ry ~ multi_student_t(10, rbeta, sigma); |
| 166 | + ry ~ multi_student_t(10, rbeta[1], sigma); |
| 167 | + ry[1] ~ multi_student_t(10, rbeta, sigma); |
| 168 | + ry[1] ~ multi_student_t(10, rbeta[1], sigma); |
| 169 | + ry ~ multi_student_t(10, rz, sigma); |
| 170 | + ry ~ multi_student_t(10, rz[1], sigma); |
| 171 | + ry[1] ~ multi_student_t(10, rz, sigma); |
| 172 | + ry[1] ~ multi_student_t(10, rz[1], sigma); |
| 173 | +} |
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