15:[["$","meta","0",{"name":"viewport","content":"width=device-width, initial-scale=1"}],["$","meta","1",{"charSet":"utf-8"}],["$","title","2",{"children":"check.commonprob() R function from [bindata] | R PACKAGES"}],["$","meta","3",{"name":"description","content":"The main diagonal elements `commonprob[i,i]` are interpreted as probabilities $p(A_i)$ that a binary variable $A_i$\n\nequals 1. The off-diagonal elements `commonprob[i,j]` are the probabilities $p(A_iA_j)$ that both $A_i$ and $A_j$ are 1.\n\nThis programs checks some necessary conditions on these probabilities which must be fulfilled in order that a joint distribution of the $A_i$ with the given probabilities can exist.\n\nThe conditions checked are [REMOVE_ME]$$ 0 \\leq p_{A_i} \\leq 10 <= p(A_i) <= 1 [REMOVE_ME_2]$$\n\n [REMOVE_ME]$$ \\max(0, p_{A_i} + p_{A_j} - 1) \\leq p_{A_iA_j} \\leq\\min(p_{A_i}, p_{A_j}), i \\neq jmax(0, p(A_i)+p(A_j)-1) <= p(A_iA_j) <= min(p(A_i), p(A_j)), i != j [REMOVE_ME_2]$$\n\n [REMOVE_ME]$$ p_{A_i} + p_{A_j} + p_{A_k} - p_{A_iA_j} -p_{A_iA_k} - p_{A_jA_k}\\leq 1, i \\neq j, i \\neq k, j \\neq kp(A_i)+p(A_j)+p(A_k)-p(A_iA_j)-p(A_iA_k)-p(A_jA_k) <= 1,i != j, i != k, j != k [REMOVE_ME_2]$$"}],["$","meta","4",{"property":"og:title","content":"check.commonprob() R function from [bindata]"}],["$","meta","5",{"property":"og:description","content":"The main diagonal elements `commonprob[i,i]` are interpreted as probabilities $p(A_i)$ that a binary variable $A_i$\n\nequals 1. The off-diagonal elements `commonprob[i,j]` are the probabilities $p(A_iA_j)$ that both $A_i$ and $A_j$ are 1.\n\nThis programs checks some necessary conditions on these probabilities which must be fulfilled in order that a joint distribution of the $A_i$ with the given probabilities can exist.\n\nThe conditions checked are [REMOVE_ME]$$ 0 \\leq p_{A_i} \\leq 10 <= p(A_i) <= 1 [REMOVE_ME_2]$$\n\n [REMOVE_ME]$$ \\max(0, p_{A_i} + p_{A_j} - 1) \\leq p_{A_iA_j} \\leq\\min(p_{A_i}, p_{A_j}), i \\neq jmax(0, p(A_i)+p(A_j)-1) <= p(A_iA_j) <= min(p(A_i), p(A_j)), i != j [REMOVE_ME_2]$$\n\n [REMOVE_ME]$$ p_{A_i} + p_{A_j} + p_{A_k} - p_{A_iA_j} -p_{A_iA_k} - p_{A_jA_k}\\leq 1, i \\neq j, i \\neq k, j \\neq kp(A_i)+p(A_j)+p(A_k)-p(A_iA_j)-p(A_iA_k)-p(A_jA_k) <= 1,i != j, i != k, j != k [REMOVE_ME_2]$$"}],["$","meta","6",{"property":"og:url","content":"https://r-packages.io/packages/bindata/check.commonprob"}],["$","meta","7",{"property":"og:site_name","content":"R PACKAGES"}],["$","meta","8",{"property":"og:locale","content":"en_US"}],["$","meta","9",{"property":"og:image:type","content":"image/png"}],["$","meta","10",{"property":"og:image","content":"https://r-packages.io/packages/bindata/check.commonprob/opengraph-image?6cdc95b0c38aa621"}],["$","meta","11",{"property":"og:image:width","content":"1200"}],["$","meta","12",{"property":"og:image:height","content":"630"}],["$","meta","13",{"property":"og:type","content":"website"}],["$","meta","14",{"name":"twitter:card","content":"summary_large_image"}],["$","meta","15",{"name":"twitter:title","content":"check.commonprob() R function from [bindata]"}],["$","meta","16",{"name":"twitter:description","content":"The main diagonal elements `commonprob[i,i]` are interpreted as probabilities $p(A_i)$ that a binary variable $A_i$\n\nequals 1. The off-diagonal elements `commonprob[i,j]` are the probabilities $p(A_iA_j)$ that both $A_i$ and $A_j$ are 1.\n\nThis programs checks some necessary conditions on these probabilities which must be fulfilled in order that a joint distribution of the $A_i$ with the given probabilities can exist.\n\nThe conditions checked are [REMOVE_ME]$$ 0 \\leq p_{A_i} \\leq 10 <= p(A_i) <= 1 [REMOVE_ME_2]$$\n\n [REMOVE_ME]$$ \\max(0, p_{A_i} + p_{A_j} - 1) \\leq p_{A_iA_j} \\leq\\min(p_{A_i}, p_{A_j}), i \\neq jmax(0, p(A_i)+p(A_j)-1) <= p(A_iA_j) <= min(p(A_i), p(A_j)), i != j [REMOVE_ME_2]$$\n\n [REMOVE_ME]$$ p_{A_i} + p_{A_j} + p_{A_k} - p_{A_iA_j} -p_{A_iA_k} - p_{A_jA_k}\\leq 1, i \\neq j, i \\neq k, j \\neq kp(A_i)+p(A_j)+p(A_k)-p(A_iA_j)-p(A_iA_k)-p(A_jA_k) <= 1,i != j, i != k, j != k [REMOVE_ME_2]$$"}],["$","meta","17",{"name":"twitter:image:type","content":"image/png"}],["$","meta","18",{"name":"twitter:image","content":"https://r-packages.io/packages/bindata/check.commonprob/opengraph-image?6cdc95b0c38aa621"}],["$","meta","19",{"name":"twitter:image:width","content":"1200"}],["$","meta","20",{"name":"twitter:image:height","content":"630"}],["$","link","21",{"rel":"icon","href":"/favicon.ico","type":"image/x-icon","sizes":"16x16"}],["$","meta","22",{"name":"next-size-adjust"}]]

check.commonprob function