@@ -2,62 +2,172 @@ data {
22 int < lower =0 > N; // response variable size
33 int < lower =0 > J; // number of observations
44 vector [N] y[J];
5+ vector [N] z[J];
56 matrix [N, N] sigma;
67}
78transformed data {
89 row_vector [N] ry[J];
10+ row_vector [N] rz[J];
911 matrix [N, N] inv_sigma;
1012 for (n in 1 : N)
11- for (j in 1 : J)
13+ for (j in 1 : J) {
1214 ry[j][n] <- y[j][n];
15+ rz[j][n] <- z[j][n];
16+ }
1317 inv_sigma <- inverse_spd( sigma);
1418}
1519parameters {
1620 vector [N] beta[J];
1721 row_vector [N] rbeta[J];
1822}
1923model {
20- for (n in 1 : J)
21- ry[n] ~ multi_normal (beta[n], sigma);
2224 y ~ multi_normal (beta, sigma);
23- ry ~ multi_normal (beta[1 ], sigma);
25+ y ~ multi_normal (beta[1 ], sigma);
2426 y[1 ] ~ multi_normal (beta, sigma);
25- for (n in 1 : J)
26- y[n] ~ multi_normal (rbeta[n], 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+
2733 y ~ multi_normal (rbeta, sigma);
2834 y ~ multi_normal (rbeta[1 ], sigma);
29- ry[1 ] ~ multi_normal (rbeta, 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);
3050
31- for (n in 1 : J)
32- ry[n] ~ multi_normal_cholesky (beta[n], sigma);
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+
3362 y ~ multi_normal_cholesky (beta, sigma);
34- ry ~ multi_normal_cholesky (beta[1 ], sigma);
63+ y ~ multi_normal_cholesky (beta[1 ], sigma);
3564 y[1 ] ~ multi_normal_cholesky (beta, sigma);
36- for (n in 1 : J)
37- y[n] ~ multi_normal_cholesky (rbeta[n], 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+
3871 y ~ multi_normal_cholesky (rbeta, sigma);
3972 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);
4091 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+
41137
42- for (n in 1 : J)
43- ry[n] ~ multi_normal_prec (beta[n], inv_sigma);
44- y ~ multi_normal_prec (beta, inv_sigma);
45- ry ~ multi_normal_prec (beta[1 ], inv_sigma);
46- y[1 ] ~ multi_normal_prec (beta, inv_sigma);
47- for (n in 1 : J)
48- y[n] ~ multi_normal_prec (rbeta[n], inv_sigma);
49- y ~ multi_normal_prec (rbeta, inv_sigma);
50- y ~ multi_normal_prec (rbeta[1 ], inv_sigma);
51- ry[1 ] ~ multi_normal_prec (rbeta, inv_sigma);
52-
53- for (n in 1 : J)
54- ry[n] ~ multi_student_t (10 , beta[n], sigma);
55138 y ~ multi_student_t (10 , beta, sigma);
56- ry ~ multi_student_t (10 , beta[1 ], sigma);
139+ y ~ multi_student_t (10 , beta[1 ], sigma);
57140 y[1 ] ~ multi_student_t (10 , beta, sigma);
58- for (n in 1 : J)
59- y[n] ~ multi_student_t (10 , rbeta[n], 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+
60147 y ~ multi_student_t (10 , rbeta, sigma);
61148 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);
62167 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);
63173}
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