wave3/approximation_sweep.csv

trial,rho,logmeanexp,safe_lse,gap,gap_over_rho,kappa,proposition_lower_bound,maximum_based_lower_bound,alpha,weight_sum,max_density,density_cap
0,0.3,2.5145013632053934,1.1560658446840493,1.3584355185213441,4.528118395071147,12.176270049022444,,,0.17665714032192625,1.0000000000000002,3.280293023544088,3.3333333333333335
0,0.1,2.5145013632053934,1.953872658042979,0.5606287051624144,5.606287051624143,12.176270049022444,,,1.4590507242533195,0.9999999999999998,8.511475530094792,10.0
0,0.03,2.5145013632053934,2.33346292342374,0.18103843978165335,6.0346146593884455,12.176270049022444,2.0749172770581312,1.9174746784918395,2.15616792729619,1.0000000000000002,15.3572041413631,33.333333333333336
0,0.01,2.5145013632053934,2.453620081558703,0.0608812816466906,6.08812816466906,12.176270049022444,2.389662914131439,2.3154924683008753,2.39283599537624,1.0000000000000002,18.351076619290254,100.0
0,0.003,2.5145013632053934,2.496230750749886,0.01827061245550743,6.09020415183581,12.176270049022444,2.478788670076837,2.454798694734038,2.4779566236969774,1.0000000000000004,19.43792425366467,333.3333333333333
0,0.001,2.5145013632053934,2.5084123386731383,0.006089024532255127,6.089024532255127,12.176270049022444,2.5027503550732,2.4946004737149416,2.5023225246654066,1.0000000000000007,19.74694403570022,1000.0
1,0.3,3.4647803327999704,1.2342185049273802,2.2305618278725903,7.4352060929086345,22.663533761832824,,,0.1308552166882474,1.0000000000000002,3.319492450382937,3.3333333333333335
1,0.1,3.4647803327999704,2.3200063817723997,1.1447739510275707,11.447739510275706,22.663533761832824,,,1.4510379348651772,1.0,9.552612745750565,10.0
1,0.03,3.4647803327999704,3.0917393290389112,0.3730410037610592,12.434700125368641,22.663533761832824,2.340639716315491,2.609708484452657,2.701520215914255,1.0000000000000002,21.57284846432502,33.333333333333336
1,0.01,3.4647803327999704,3.3469180263665876,0.1178623064333828,11.78623064333828,22.663533761832824,3.21277574068994,3.179756383350866,3.2247649099539606,1.0000000000000004,26.596994787440963,100.0
1,0.003,3.4647803327999704,3.430363850842075,0.034416481957895595,11.472160652631866,22.663533761832824,3.3958679529101965,3.379273147965239,3.3955298543379318,1.0000000000000004,27.981927842334525,333.3333333333333
1,0.001,3.4647803327999704,3.4534015262172417,0.011378806582728718,11.378806582728718,22.663533761832824,3.442356033715419,3.43627793785506,3.4419757862504596,0.9999999999999997,28.333642413921456,1000.0
2,0.3,2.0659680377547565,1.2235399527604418,0.8424280849943147,2.8080936166477155,6.914937939736328,,,0.4238022144395972,1.0,3.1895158271352453,3.3333333333333335
2,0.1,2.0659680377547565,1.7572828523887862,0.3086851853659702,3.0868518536597023,6.914937939736328,0.93995471869487,,1.4773515920972167,1.0,7.204948524994182,10.0
2,0.03,2.0659680377547565,1.9658689328410113,0.10009910491374518,3.336636830458173,6.914937939736328,1.8484707031499807,1.6366991112557066,1.8694529282511723,1.0,11.439320852019135,33.333333333333336
2,0.01,2.0659680377547565,2.0317851916280016,0.03418284612675482,3.418284612675482,6.914937939736328,1.9993115726956119,1.9228783955884066,1.998003252343052,1.0000000000000002,13.281223116744513,100.0
2,0.003,2.0659680377547565,2.0556302396759403,0.010337798078816185,3.445932692938728,6.914937939736328,2.046505027378869,2.0230411451048513,2.045327369428505,0.9999999999999997,13.994127350556248,333.3333333333333
2,0.001,2.0659680377547565,2.062514389779283,0.0034536479754736504,3.4536479754736504,6.914937939736328,2.0595290808411475,2.0516590735381213,2.0590645754153956,1.0000000000000002,14.203442918560519,1000.0
3,0.3,1.3355740329268233,0.7754795553269501,0.5600944775998732,1.8669815919995774,4.244189802085718,,,0.2522538222381424,1.0000000000000002,2.9808203056049147,3.3333333333333335
3,0.1,1.3355740329268233,1.1348180269989274,0.2007560059278959,2.007560059278959,4.244189802085718,0.8331987537641681,0.3815498578125138,0.9444085114801821,1.0,5.851859359057517,10.0
3,0.03,1.3355740329268233,1.2729773161249425,0.06259671680188084,2.0865572267293615,4.244189802085718,1.2143811656471,1.0493667803925306,1.2114516195954592,1.0000000000000002,8.157685650204275,33.333333333333336
3,0.01,1.3355740329268233,1.3144705986973955,0.021103434229427842,2.110343422942784,4.244189802085718,1.2972051540766396,1.2401716154153923,1.2934854598898697,0.9999999999999998,9.04985480855084,100.0
3,0.003,1.3355740329268233,1.3292182680678912,0.006355764858932078,2.118588286310693,4.244189802085718,1.3242597096595534,1.3069533076733941,1.3228730504447173,1.0000000000000004,9.39000117038363,333.3333333333333
3,0.001,1.3355740329268233,1.3334531047996045,0.0021209281272187575,2.1209281272187575,4.244189802085718,1.3318208109860663,1.3260337911756803,1.3313333445296092,1.0,9.48986449820979,1000.0
4,0.3,1.6079501051571947,0.8274779840837849,0.7804721210734098,2.6015737369113663,6.74189031165784,,,0.1182527895944927,1.0,3.166367420952845,3.3333333333333335
4,0.1,1.6079501051571947,1.3129944812625312,0.29495562389466357,2.9495562389466357,6.74189031165784,0.5365121891618305,,1.0507995691359633,1.0,7.132848311722502,10.0
4,0.03,1.6079501051571947,1.5109785021935016,0.09697160296369312,3.2323867654564373,6.74189031165784,1.3969816809567897,1.1804205238024492,1.4181932141601301,1.0,11.358174954122761,33.333333333333336
4,0.01,1.6079501051571947,1.5746932940056109,0.033256811151583854,3.3256811151583854,6.74189031165784,1.5431509410788116,1.4654402447056127,1.5418975869809253,1.0000000000000002,13.212588105892289,100.0
4,0.003,1.6079501051571947,1.597877380872392,0.010072724284802659,3.3575747616008864,6.74189031165784,1.5890170948577207,1.56519714702172,1.587845076853195,1.0000000000000004,13.93264341925596,333.3333333333333
4,0.001,1.6079501051571947,1.604583593030877,0.0033665121263177777,3.3665121263177777,6.74189031165784,1.6016853856371813,1.5936991191120364,1.6012215262563103,1.0000000000000004,14.144267639941871,1000.0
5,0.3,2.0750213236948096,1.4498981688084236,0.625123154886386,2.083743849621287,4.249314686493636,,,0.8456388880949934,1.0,2.9632134617131842,3.3333333333333335
5,0.1,2.0750213236948096,1.8619507920086997,0.2130705316861099,2.130705316861099,4.249314686493636,1.5717552633656884,1.294499101260055,1.6501427008288085,0.9999999999999998,5.441563052880416,10.0
5,0.03,2.0750213236948096,2.011089297627297,0.06393202606751247,2.131067535583749,4.249314686493636,1.9536522622998176,1.8408646569643834,1.9470313696353285,1.0,7.006364371667795,33.333333333333336
5,0.01,2.0750213236948096,2.053748363443853,0.021272960250956707,2.1272960250956707,4.249314686493636,2.0365989230630754,1.9969691014513342,2.032451568875544,1.0000000000000002,7.531266110324331,100.0
5,0.003,2.0750213236948096,2.0686448153369676,0.006376508357841981,2.1255027859473272,4.249314686493636,2.063691427369559,2.051605657021767,2.0622658401474387,1.0000000000000004,7.722275796530556,333.3333333333333
5,0.001,2.0750213236948096,2.072896379384347,0.0021249443104625065,2.1249443104625065,4.249314686493636,2.0712629550127097,2.067216101470462,2.0707711506856272,1.0,7.777502672699154,1000.0
6,0.3,2.491783524545131,1.0080777359877793,1.483705788557352,4.94568596185784,12.38950505379096,,,-0.1060399771840976,1.0000000000000002,3.2926915357822324,3.3333333333333335
6,0.1,2.491783524545131,1.910460704131519,0.5813228204136123,5.813228204136123,12.38950505379096,,,1.3788263261560192,1.0000000000000002,8.595050288261229,10.0
6,0.03,2.491783524545131,2.306989054677338,0.18479446986779324,6.159815662259775,12.38950505379096,2.042069637330356,1.888727407089849,2.12530350929745,1.0000000000000004,15.507997006868846,33.333333333333336
6,0.01,2.491783524545131,2.4297776810377787,0.0620058435073525,6.20058435073525,12.38950505379096,2.3645141346453222,2.2907648187267036,2.36780979028344,1.0000000000000002,18.536948921126264,100.0
6,0.003,2.491783524545131,2.4731878449450493,0.018595679600081905,6.1985598666939685,12.38950505379096,2.455406652265264,2.431477912799603,2.4545834238929967,1.0000000000000004,19.63478009095228,333.3333333333333
6,0.001,2.491783524545131,2.485587303929891,0.006196220615240389,6.196220615240389,12.38950505379096,2.4798166296950614,2.4716816539632886,2.479389714884795,1.0000000000000002,19.946595355530775,1000.0
7,0.3,1.5808784867125736,0.8018569390991591,0.7790215476134145,2.596738492044715,5.024162725844855,,,0.04565950758939963,1.0,3.0886676017114496,3.3333333333333335
7,0.1,1.5808784867125736,1.3222450542808726,0.258633432431701,2.58633432431701,5.024162725844855,0.9328870464814403,0.674437277850293,1.0587839849258973,1.0000000000000002,6.0440783414338695,10.0
7,0.03,1.5808784867125736,1.5046894627694538,0.07618902394311977,2.539634131437326,5.024162725844855,1.4325063912835836,1.3089461240538895,1.4277379517010251,1.0,8.02201894817651,33.333333333333336
7,0.01,1.5808784867125736,1.5556611963255547,0.02521729038701892,2.521729038701892,5.024162725844855,1.534330815491402,1.4902343658263455,1.5303496863877233,1.0000000000000002,8.704309010962694,100.0
7,0.003,1.5808784867125736,1.5733334189160832,0.0075450677964903345,2.5150225988301114,5.024162725844855,1.5671912541360864,1.5536852504467051,1.5657795871440778,1.0000000000000004,8.955090550250011,333.3333333333333
7,0.001,1.5808784867125736,1.5783654205262179,0.002513066186355717,2.513066186355717,5.024162725844855,1.5763416604475868,1.5718140746239508,1.5758513717155647,0.9999999999999998,9.027850091227153,1000.0
8,0.3,1.3714775288678736,0.7675314245956821,0.6039461042721914,2.0131536809073047,4.737641797918292,,,0.2383665596963669,1.0,2.9714488897878244,3.3333333333333335
8,0.1,1.3714775288678736,1.146606067746725,0.22487146112114864,2.2487146112114864,4.737641797918292,0.7794716895467082,0.49007710657619685,0.9359312170973475,1.0000000000000002,5.767151379269181,10.0
8,0.03,1.3714775288678736,1.30125927345561,0.07021825541226345,2.340608513742115,4.737641797918292,1.2331756924106496,1.1070574021803705,1.2320319421988164,1.0000000000000007,7.770705567282083,33.333333333333336
8,0.01,1.3714775288678736,1.3478717730364906,0.023605755831382913,2.3605755831382913,4.737641797918292,1.3279420933741954,1.283337486638706,1.3243546823885466,1.0000000000000004,8.457842441556192,100.0
8,0.003,1.3714775288678736,1.3643780872038471,0.007099441664026429,2.3664805546754764,4.737641797918292,1.3586626324928917,1.3450355161991232,1.3572858413838094,1.0000000000000002,8.706474453181794,333.3333333333333
8,0.001,1.3714775288678736,1.3691094750639459,0.0023680538039276833,2.3680538039276833,4.737641797918292,1.3672286288727749,1.3626635246449568,1.3667421948999352,0.9999999999999997,8.77810297318409,1000.0
9,0.3,3.0529854378454493,1.6008828766801029,1.4521025611653464,4.840341870551155,10.151516274761644,,,0.5583098260657808,1.0,3.2787494720354435,3.3333333333333335
9,0.1,3.0529854378454493,2.5078865458579473,0.5450988919875019,5.450988919875019,10.151516274761644,,,1.9469250746271842,1.0,8.331684990109448,10.0
9,0.03,3.0529854378454493,2.89642388666595,0.15656155117949933,5.2187183726499775,10.151516274761644,2.704795764431752,2.557284059349804,2.735850429950359,1.0000000000000002,13.500222928823788,33.333333333333336
9,0.01,3.0529854378454493,3.0017307871745,0.05125465067094925,5.125465067094925,10.151516274761644,2.9509399893211405,2.8877516450135676,2.9499894908430866,1.0000000000000002,15.480541540189618,100.0
9,0.003,3.0529854378454493,3.0377127648462494,0.015272672999199877,5.0908909997332925,10.151516274761644,3.023557513494806,3.0034152999958845,3.0223949795658704,0.9999999999999998,16.2082450819207,333.3333333333333
9,0.001,3.0529854378454493,3.0479046141627055,0.0050808236827437625,5.0808236827437625,10.151516274761644,3.043282043536917,3.036462058562261,3.0428187355881926,1.0000000000000007,16.418168649914573,1000.0
10,0.3,1.6351815853511198,0.6030964566479935,1.0320851287031263,3.4402837623437543,8.535786760765784,,,-0.14940607226024322,1.0000000000000002,3.2067338119722995,3.3333333333333335
10,0.1,1.6351815853511198,1.2163024803995115,0.4188791049516083,4.188791049516083,8.535786760765784,-0.23608544749586868,,0.8304841000440717,1.0,7.601454327721237,10.0
10,0.03,1.6351815853511198,1.505962451601821,0.12921913374929872,4.307304458309957,8.535786760765784,1.354368407782823,1.209980587413433,1.376412322041443,1.0000000000000002,11.838741553865082,33.333333333333336
10,0.01,1.6351815853511198,1.592310548086133,0.042871037264986755,4.2871037264986755,8.535786760765784,1.550959183000686,1.4934479193718908,1.549276295444045,1.0,13.3784864130843,100.0
10,0.003,1.6351815853511198,1.6223588365202264,0.012822748830893405,4.274249610297802,8.535786760765784,1.6107406496401984,1.592661485557351,1.6095177634882099,1.0000000000000002,13.933942525242262,333.3333333333333
10,0.001,1.6351815853511198,1.6309115184810308,0.004270066870089018,4.270066870089018,8.535786760765784,1.6271091601214536,1.621008218753197,1.6266393052921901,1.0000000000000002,14.093492179932348,1000.0
11,0.3,5.117992782549784,1.1437227736477502,3.974270008902034,13.247566696340114,35.88589506657304,,,0.16082902140777894,1.0000000000000002,3.3311901943829105,3.3333333333333335
11,0.1,5.117992782549784,2.2979671322821194,2.820025650267665,28.20025650267665,35.88589506657304,,,1.036073025210428,1.0000000000000002,9.953902309258533,10.0
11,0.03,5.117992782549784,4.198393271203328,0.9195995113464566,30.653317044881888,35.88589506657304,,,2.7045854133117517,1.0,30.81049758399442,33.333333333333336
11,0.01,5.117992782549784,4.91340503662439,0.20458774592539442,20.45877459253944,35.88589506657304,4.67848698204509,4.7536090519025676,4.678226810425997,0.9999999999999998,36.12871773256644,100.0
11,0.003,5.117992782549784,5.062191317253745,0.0558014652960388,18.600488432012934,35.88589506657304,5.005587323517105,5.008677663355619,5.004310634276287,0.9999999999999998,36.37084238020064,333.3333333333333
11,0.001,5.117992782549784,5.099838235086174,0.01815454746361045,18.15454746361045,35.88589506657304,5.08194715728699,5.081554409485062,5.081468448634054,0.9999999999999992,36.41750563352648,1000.0
12,0.3,2.5717151876222983,1.329240591164527,1.2424745964577713,4.141581988192571,10.66490063032048,,,0.4745422573849729,1.0000000000000002,3.252932466202995,3.3333333333333335
12,0.1,2.5717151876222983,2.0436651133524304,0.5280500742698679,5.280500742698679,10.66490063032048,,,1.5716199997609452,1.0000000000000002,8.182591275393543,10.0
12,0.03,2.5717151876222983,2.408254939327656,0.16346024829464234,5.448674943154745,10.66490063032048,2.201130617143439,2.0748670306666064,2.242994536888901,1.0,13.611992232218256,33.333333333333336
12,0.01,2.5717151876222983,2.517889312596695,0.05382587502560332,5.382587502560332,10.66490063032048,2.463939462345125,2.406099135303734,2.4636128045484886,1.0000000000000004,15.577837507419048,100.0
12,0.003,2.5717151876222983,2.5556696681041373,0.016045519518161022,5.348506506053674,10.66490063032048,2.540697469154899,2.522030371926729,2.539577219522511,0.9999999999999998,16.26784401875453,333.3333333333333
12,0.001,2.5717151876222983,2.5663772948247576,0.005337892797540711,5.337892797540711,10.66490063032048,2.561493009334899,2.555153582390442,2.561034004055535,1.0,16.46385499559527,1000.0
13,0.3,2.8319702459818092,1.7342353421465166,1.0977349038352926,3.659116346117642,10.0905990036314,,,0.9277070680672781,1.0,3.240825712989164,3.3333333333333335
13,0.1,2.8319702459818092,2.3712502531292685,0.4607199928525407,4.607199928525407,10.0905990036314,,,1.9716841206511435,1.0000000000000002,8.043493567212469,10.0
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15,0.3,4.030886311857566,1.6345929460385968,2.3962933658189693,7.987644552729898,21.673394850056713,,,0.29883371276930604,1.0,3.3237354550030407,3.3333333333333335
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