{"args":{"dataset":"grid","epsilon":0.5,"income":"income","weights":"weight"},"checks":[{"abs_tol":null,"bind":"any","column":null,"failure_class":null,"field":"value","interval":false,"key":"atkinson","kind":"figure_close","min_lre":null,"note":"","open_interval":false,"rel_tol":1e-05,"required":true,"source_id":null,"table":null,"tool":null,"value":0.14785621103378865,"weight":1.0,"where":null},{"abs_tol":null,"bind":"any","column":null,"failure_class":null,"field":"value","interval":false,"key":"ede","kind":"figure_close","min_lre":null,"note":"","open_interval":false,"rel_tol":1e-05,"required":true,"source_id":null,"table":null,"tool":null,"value":1286.9109329058804,"weight":1.0,"where":null}],"datasets":{"grid":{"columns":null,"description":"lognormal income, log-SD 0.8, 20,000 points (weighted grid, cells finer in the tails); columns income and weight","file_sha256":null,"format":null,"frame_sha256":null,"generator":"magi_bench.suites.closed_form:lognormal_grid","kind":"generator","licence":null,"member":null,"object":null,"params":{"mu":7.0,"n":20000,"sigma":0.8,"weighted":true},"path":null,"read_kw":{},"records":null,"role":"agent","sha256":null,"transforms":[],"url":null}},"difficulty":"E","id":"closed_form.atkinson.lognormal_e0.5","level":"T1","meta":{},"question":"","requires":[],"runner":null,"sources":[],"split":"public","suite":"closed_form","tags":["inequality","welfare","lognormal","weights"],"target":"tool","tool":"core.atkinson","truth":"Atkinson(\u03b5 = 0.5) of a lognormal, \u03c3 = 0.8: 1 \u2212 exp(\u2212\u03b5\u03c3\u00b2/2) = 0.147856; EDE = exp(\u03bc + (1 \u2212 \u03b5)\u03c3\u00b2/2) = 1286.91 (Cowell 2011, technical appendix)"}