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This function generate synthetic data of nind X(t). For 'cat' curve_type it is in state 0 or 1 by two different exponential laws. For curve_type = 'num' it is noised cosine.

Usage

generate_X_df(
  nind = 100,
  start = 0,
  end = 100,
  curve_type = "cat",
  lambda_0 = 0.2,
  lambda_1 = 0.1,
  prob_start = 0.5,
  noise_sd = 0.1,
  seed = 123
)

Arguments

nind

number of individuals, default 100

start

first time, default 0

end

last time, default 100

curve_type

character, type of wanted synthetic data, default 'cat', need to be \'cat\' or \'num\'.

lambda_0

lambda parameter for exponential law for state 0, default 0.2

lambda_1

lambda parameter for exponential law for state 1, default 0.1

prob_start

Start state 1 probability, binomial law, default 0.5

noise_sd

noise added to the signal, default 0.1

seed

seed for reproducibility, default 123

Value

the dataframe of the individuals

Author

Francois Bassac

Examples

generate_X_df()
#>       id        time state
#> 1      1   0.0000000     0
#> 2      1   2.8830514     1
#> 3      1  16.1736000     0
#> 4      1  16.3314868     1
#> 5      1  16.8935966     0
#> 6      1  18.4761027     1
#> 7      1  21.6183756     0
#> 8      1  22.3447096     1
#> 9      1  49.6070743     0
#> 10     1  49.7528415     1
#> 11     1  59.8011421     0
#> 12     1  62.2022157     1
#> 13     1  65.0123520     0
#> 14     1  66.8979411     1
#> 15     1  68.7807815     0
#> 16     1  73.0297122     1
#> 17     1  88.6617476     0
#> 18     1  91.0555497     1
#> 19     1  96.9648980     0
#> 20     1 100.0000000     0
#> 21     2   0.0000000     0
#> 22     2   2.5845954     1
#> 23     2  18.0530466     0
#> 24     2  25.6965193     1
#> 25     2  39.2098445     0
#> 26     2  45.9500670     1
#> 27     2  57.6353568     0
#> 28     2  65.6646185     1
#> 29     2  80.6320472     0
#> 30     2  88.4853099     1
#> 31     2  88.8029874     0
#> 32     2  91.7922358     1
#> 33     2 100.0000000     1
#> 34     3   0.0000000     1
#> 35     3   2.5955782     0
#> 36     3  15.5800388     1
#> 37     3  27.8702961     0
#> 38     3  31.8237049     1
#> 39     3  38.1165056     0
#> 40     3  44.3897107     1
#> 41     3  50.2765571     0
#> 42     3  55.9230073     1
#> 43     3  60.1266553     0
#> 44     3  96.1816932     1
#> 45     3 100.0000000     1
#> 46     4   0.0000000     1
#> 47     4  11.0033882     0
#> 48     4  22.2449166     1
#> 49     4  35.8822596     0
#> 50     4  38.7642180     1
#> 51     4  66.0169765     0
#> 52     4  72.5777917     1
#> 53     4  73.4837052     0
#> 54     4  75.0147244     1
#> 55     4  85.6868551     0
#> 56     4  87.2544364     1
#> 57     4  97.0008379     0
#> 58     4 100.0000000     0
#> 59     5   0.0000000     1
#> 60     5  25.7696133     0
#> 61     5  31.0080920     1
#> 62     5  41.2525054     0
#> 63     5  46.3918535     1
#> 64     5  49.2385381     0
#> 65     5  57.0537976     1
#> 66     5  57.4746805     0
#> 67     5  57.9678350     1
#> 68     5  58.9535281     0
#> 69     5  60.3554539     1
#> 70     5  63.3133235     0
#> 71     5  68.1754717     1
#> 72     5  77.4157440     0
#> 73     5  85.6277666     1
#> 74     5 100.0000000     1
#> 75     6   0.0000000     0
#> 76     6   7.6077481     1
#> 77     6  11.4078901     0
#> 78     6  12.6004550     1
#> 79     6  17.2653292     0
#> 80     6  17.4766865     1
#> 81     6  20.6734555     0
#> 82     6  23.8915101     1
#> 83     6  29.6171411     0
#> 84     6  30.6974186     1
#> 85     6  75.6841526     0
#> 86     6  84.9696054     1
#> 87     6  91.8241917     0
#> 88     6  99.0214549     1
#> 89     6 100.0000000     1
#> 90     7   0.0000000     0
#> 91     7   7.3165028     1
#> 92     7  22.6904426     0
#> 93     7  22.7134382     1
#> 94     7  33.8010929     0
#> 95     7  35.3009445     1
#> 96     7  47.2209746     0
#> 97     7  52.7956181     1
#> 98     7  53.4693770     0
#> 99     7  55.8727206     1
#> 100    7  71.5772640     0
#> 101    7  72.8769945     1
#> 102    7  91.4462174     0
#> 103    7  93.7623155     1
#> 104    7  96.1226730     0
#> 105    7 100.0000000     0
#> 106    8   0.0000000     1
#> 107    8   4.0323844     0
#> 108    8   8.7470836     1
#> 109    8  12.9128901     0
#> 110    8  16.6789821     1
#> 111    8  18.5658460     0
#> 112    8  22.9501153     1
#> 113    8  24.8504935     0
#> 114    8  29.7458846     1
#> 115    8  32.9796428     0
#> 116    8  39.5820306     1
#> 117    8  42.7666371     0
#> 118    8  50.7919736     1
#> 119    8  52.2493147     0
#> 120    8  61.2649613     1
#> 121    8  61.5655559     0
#> 122    8  68.0827586     1
#> 123    8  70.0806811     0
#> 124    8  78.8379623     1
#> 125    8  96.4746456     0
#> 126    8 100.0000000     0
#> 127    9   0.0000000     1
#> 128    9  32.9782480     0
#> 129    9  34.9867789     1
#> 130    9  45.9937962     0
#> 131    9  52.6384121     1
#> 132    9  59.0574386     0
#> 133    9  60.0366071     1
#> 134    9  64.6044957     0
#> 135    9  66.4682465     1
#> 136    9 100.0000000     1
#> 137   10   0.0000000     0
#> 138   10   5.4074258     1
#> 139   10   8.3770174     0
#> 140   10   8.7978210     1
#> 141   10  38.3318302     0
#> 142   10  48.1730915     1
#> 143   10  54.8116427     0
#> 144   10  62.8586035     1
#> 145   10  68.9269743     0
#> 146   10  69.3952359     1
#> 147   10  72.6415887     0
#> 148   10  81.4410003     1
#> 149   10  84.1021075     0
#> 150   10  88.8052383     1
#> 151   10  93.2963252     0
#> 152   10  99.7408576     1
#> 153   10 100.0000000     1
#> 154   11   0.0000000     0
#> 155   11   0.9304565     1
#> 156   11   8.5627856     0
#> 157   11   8.8734896     1
#> 158   11  14.5793230     0
#> 159   11  23.2332272     1
#> 160   11  36.3406663     0
#> 161   11  42.8150311     1
#> 162   11  47.4881382     0
#> 163   11  47.6525872     1
#> 164   11  49.1829676     0
#> 165   11  54.3753276     1
#> 166   11  65.1997847     0
#> 167   11  83.9362404     1
#> 168   11  83.9925013     0
#> 169   11  84.0143381     1
#> 170   11 100.0000000     1
#> 171   12   0.0000000     1
#> 172   12   4.7036861     0
#> 173   12   4.9614832     1
#> 174   12  10.1333466     0
#> 175   12  17.5490616     1
#> 176   12  30.3439172     0
#> 177   12  37.4762581     1
#> 178   12  58.6592015     0
#> 179   12  65.7800034     1
#> 180   12  74.6211465     0
#> 181   12  88.0760808     1
#> 182   12 100.0000000     1
#> 183   13   0.0000000     1
#> 184   13   5.0849480     0
#> 185   13   8.2510069     1
#> 186   13   8.9375126     0
#> 187   13  11.7832652     1
#> 188   13  55.4423746     0
#> 189   13  58.2330334     1
#> 190   13  62.8208465     0
#> 191   13  64.1221650     1
#> 192   13  71.1105824     0
#> 193   13  75.9265244     1
#> 194   13  83.2413199     0
#> 195   13  88.8027178     1
#> 196   13  94.8589632     0
#> 197   13  98.2160516     1
#> 198   13 100.0000000     1
#> 199   14   0.0000000     1
#> 200   14   8.7672900     0
#> 201   14  16.5806948     1
#> 202   14  20.6605360     0
#> 203   14  34.3622788     1
#> 204   14  62.8810534     0
#> 205   14  63.0019202     1
#> 206   14  67.7578683     0
#> 207   14  71.0984114     1
#> 208   14  80.6007144     0
#> 209   14  86.2895894     1
#> 210   14  87.1172403     0
#> 211   14  95.3317788     1
#> 212   14  96.9207830     0
#> 213   14 100.0000000     0
#> 214   15   0.0000000     1
#> 215   15   0.3014362     0
#> 216   15   8.7557211     1
#> 217   15  11.1937670     0
#> 218   15  12.3143954     1
#> 219   15  19.0195018     0
#> 220   15  26.7036553     1
#> 221   15  45.9918747     0
#> 222   15  47.0597357     1
#> 223   15  52.7386653     0
#> 224   15  62.4052843     1
#> 225   15  98.4327629     0
#> 226   15 100.0000000     0
#> 227   16   0.0000000     0
#> 228   16   6.9026349     1
#> 229   16  17.5464588     0
#> 230   16  19.1237431     1
#> 231   16  20.5715636     0
#> 232   16  25.2130362     1
#> 233   16  27.7964608     0
#> 234   16  30.4883999     1
#> 235   16  31.2419436     0
#> 236   16  31.8841321     1
#> 237   16  57.8725337     0
#> 238   16  68.2234886     1
#> 239   16  70.2772988     0
#> 240   16  84.1079262     1
#> 241   16  98.6713539     0
#> 242   16 100.0000000     0
#> 243   17   0.0000000     0
#> 244   17   1.3705213     1
#> 245   17   8.8738586     0
#> 246   17  14.1258461     1
#> 247   17  17.7415971     0
#> 248   17  22.5463180     1
#> 249   17  29.1776899     0
#> 250   17  37.0658770     1
#> 251   17  56.2906861     0
#> 252   17  57.4057019     1
#> 253   17  95.8577607     0
#> 254   17  96.8203962     1
#> 255   17 100.0000000     1
#> 256   18   0.0000000     1
#> 257   18   2.5251389     0
#> 258   18   7.0489732     1
#> 259   18  19.5086315     0
#> 260   18  27.8591070     1
#> 261   18  31.7659942     0
#> 262   18  36.8226784     1
#> 263   18  37.5725148     0
#> 264   18  50.9253884     1
#> 265   18  67.6815930     0
#> 266   18  71.8071864     1
#> 267   18  73.4846331     0
#> 268   18  75.8017097     1
#> 269   18  92.9063262     0
#> 270   18  95.3620570     1
#> 271   18 100.0000000     1
#> 272   19   0.0000000     0
#> 273   19   1.7333248     1
#> 274   19   2.2097768     0
#> 275   19   7.6715486     1
#> 276   19  21.9378470     0
#> 277   19  24.5285412     1
#> 278   19  40.7844228     0
#> 279   19  51.7545100     1
#> 280   19  53.4532412     0
#> 281   19  57.3345375     1
#> 282   19  73.1580645     0
#> 283   19  76.2620452     1
#> 284   19 100.0000000     1
#> 285   20   0.0000000     1
#> 286   20  11.5227783     0
#> 287   20  14.9901269     1
#> 288   20  30.3444910     0
#> 289   20  33.4838282     1
#> 290   20  42.7258550     0
#> 291   20  44.6032819     1
#> 292   20  45.4058053     0
#> 293   20  47.1880439     1
#> 294   20  59.9031426     0
#> 295   20  70.9394685     1
#> 296   20  78.4735636     0
#> 297   20  78.6452508     1
#> 298   20  84.3837978     0
#> 299   20  89.9216552     1
#> 300   20 100.0000000     1
#> 301   21   0.0000000     0
#> 302   21  11.7950407     1
#> 303   21  23.3446833     0
#> 304   21  32.3967077     1
#> 305   21  33.1177821     0
#> 306   21  33.1572692     1
#> 307   21  35.5231281     0
#> 308   21  47.5228303     1
#> 309   21  50.2653409     0
#> 310   21  59.0665489     1
#> 311   21  66.4322774     0
#> 312   21  69.5830924     1
#> 313   21  78.5602652     0
#> 314   21  84.3194216     1
#> 315   21  93.7354051     0
#> 316   21 100.0000000     0
#> 317   22   0.0000000     1
#> 318   22   3.5802683     0
#> 319   22   3.6687371     1
#> 320   22  12.7157139     0
#> 321   22  14.2650261     1
#> 322   22  20.5945888     0
#> 323   22  35.7774041     1
#> 324   22  40.5580378     0
#> 325   22  45.9981636     1
#> 326   22  52.5831801     0
#> 327   22  52.9385940     1
#> 328   22  60.8518803     0
#> 329   22  63.8613624     1
#> 330   22  89.3189290     0
#> 331   22  92.6400068     1
#> 332   22 100.0000000     1
#> 333   23   0.0000000     1
#> 334   23   0.5646832     0
#> 335   23   3.5870653     1
#> 336   23  15.9254813     0
#> 337   23  20.9431652     1
#> 338   23  41.2012051     0
#> 339   23  41.8950317     1
#> 340   23  45.5667300     0
#> 341   23  47.2240814     1
#> 342   23  47.8219306     0
#> 343   23  47.9203596     1
#> 344   23  82.9204264     0
#> 345   23  99.4169676     1
#> 346   23 100.0000000     1
#> 347   24   0.0000000     1
#> 348   24   3.0753336     0
#> 349   24   9.4461448     1
#> 350   24  15.6922413     0
#> 351   24  16.1624755     1
#> 352   24  19.9977558     0
#> 353   24  20.8723695     1
#> 354   24  32.7185175     0
#> 355   24  39.4503616     1
#> 356   24  75.8607342     0
#> 357   24  76.5280750     1
#> 358   24  89.0938123     0
#> 359   24  94.9174672     1
#> 360   24  95.9664635     0
#> 361   24  97.6335150     1
#> 362   24  98.0548253     0
#> 363   24  98.3610692     1
#> 364   24  98.5284818     0
#> 365   24 100.0000000     0
#> 366   25   0.0000000     1
#> 367   25  27.9568082     0
#> 368   25  35.6709070     1
#> 369   25  45.3421624     0
#> 370   25  54.2329868     1
#> 371   25  60.2615785     0
#> 372   25  68.0443326     1
#> 373   25  74.4986805     0
#> 374   25  79.5843729     1
#> 375   25  91.4826203     0
#> 376   25  92.7800745     1
#> 377   25 100.0000000     1
#> 378   26   0.0000000     0
#> 379   26   2.0237778     1
#> 380   26   7.1210869     0
#> 381   26   7.2740890     1
#> 382   26  12.7822408     0
#> 383   26  18.7843050     1
#> 384   26  49.9847678     0
#> 385   26  55.7387254     1
#> 386   26  63.6202480     0
#> 387   26  64.6754876     1
#> 388   26  69.8581944     0
#> 389   26  73.3065406     1
#> 390   26  80.9594306     0
#> 391   26  90.4972659     1
#> 392   26  96.8763735     0
#> 393   26 100.0000000     0
#> 394   27   0.0000000     1
#> 395   27   5.9764712     0
#> 396   27   6.2895036     1
#> 397   27   8.8043764     0
#> 398   27  11.2607386     1
#> 399   27  35.7157071     0
#> 400   27  40.1917953     1
#> 401   27  42.4830384     0
#> 402   27  45.0123590     1
#> 403   27  48.3100102     0
#> 404   27  50.6762137     1
#> 405   27  51.0670255     0
#> 406   27  51.0961085     1
#> 407   27  62.0493713     0
#> 408   27  65.5049325     1
#> 409   27  71.6336358     0
#> 410   27  82.8462232     1
#> 411   27 100.0000000     1
#> 412   28   0.0000000     1
#> 413   28  16.4363696     0
#> 414   28  17.9069431     1
#> 415   28  35.6513064     0
#> 416   28  54.4036689     1
#> 417   28  54.8299458     0
#> 418   28  67.1293850     1
#> 419   28  75.3809506     0
#> 420   28  82.2553846     1
#> 421   28  84.0009470     0
#> 422   28  87.0678913     1
#> 423   28 100.0000000     1
#> 424   29   0.0000000     0
#> 425   29   5.9428873     1
#> 426   29  12.5673269     0
#> 427   29  14.4756190     1
#> 428   29  14.9223344     0
#> 429   29  23.6817364     1
#> 430   29  30.8889465     0
#> 431   29  32.2369516     1
#> 432   29  33.0281699     0
#> 433   29  40.5637837     1
#> 434   29  48.8437266     0
#> 435   29  49.6740326     1
#> 436   29  66.7390475     0
#> 437   29  79.8403441     1
#> 438   29  89.2377672     0
#> 439   29  92.9061525     1
#> 440   29 100.0000000     1
#> 441   30   0.0000000     1
#> 442   30  10.3149903     0
#> 443   30  11.6328790     1
#> 444   30  12.5614041     0
#> 445   30  18.5560299     1
#> 446   30  37.2888147     0
#> 447   30  42.5596527     1
#> 448   30  45.7520794     0
#> 449   30  48.0456887     1
#> 450   30  55.0026977     0
#> 451   30  55.3766051     1
#> 452   30  59.5900247     0
#> 453   30  61.7137571     1
#> 454   30 100.0000000     1
#> 455   31   0.0000000     0
#> 456   31   2.2435338     1
#> 457   31  19.8844851     0
#> 458   31  24.6664768     1
#> 459   31  30.7516024     0
#> 460   31  30.7557322     1
#> 461   31  46.4868672     0
#> 462   31  63.2480983     1
#> 463   31  65.1951680     0
#> 464   31  70.0874728     1
#> 465   31  70.6460528     0
#> 466   31  73.6002730     1
#> 467   31  95.4239039     0
#> 468   31  97.3741109     1
#> 469   31  99.1028656     0
#> 470   31 100.0000000     0
#> 471   32   0.0000000     0
#> 472   32   0.5743758     1
#> 473   32   7.7602629     0
#> 474   32  17.8414872     1
#> 475   32  18.1171100     0
#> 476   32  26.7199604     1
#> 477   32  28.1070141     0
#> 478   32  35.8045786     1
#> 479   32  51.3242232     0
#> 480   32  58.0356213     1
#> 481   32  61.6958270     0
#> 482   32  63.2301052     1
#> 483   32  67.9150177     0
#> 484   32  70.9900088     1
#> 485   32  85.0981059     0
#> 486   32  88.5794125     1
#> 487   32  98.7727640     0
#> 488   32 100.0000000     0
#> 489   33   0.0000000     1
#> 490   33   6.1722409     0
#> 491   33   9.8140008     1
#> 492   33  16.2033436     0
#> 493   33  38.5967419     1
#> 494   33  58.7330536     0
#> 495   33  77.0675627     1
#> 496   33  85.3243423     0
#> 497   33  87.2046136     1
#> 498   33 100.0000000     1
#> 499   34   0.0000000     0
#> 500   34  13.6941331     1
#> 501   34  21.8482119     0
#> 502   34  27.5432722     1
#> 503   34  34.8445376     0
#> 504   34  38.7305704     1
#> 505   34  71.4944354     0
#> 506   34  75.2160974     1
#> 507   34  78.5281073     0
#> 508   34  80.2045097     1
#> 509   34 100.0000000     1
#> 510   35   0.0000000     1
#> 511   35  11.4619345     0
#> 512   35  11.9443775     1
#> 513   35  20.6762202     0
#> 514   35  27.6510034     1
#> 515   35  29.4490359     0
#> 516   35  30.0657920     1
#> 517   35  33.8402144     0
#> 518   35  38.5313665     1
#> 519   35  40.6431033     0
#> 520   35  40.9060041     1
#> 521   35  70.9855108     0
#> 522   35  95.5025459     1
#> 523   35 100.0000000     1
#> 524   36   0.0000000     0
#> 525   36   2.2084035     1
#> 526   36   5.5385178     0
#> 527   36   6.2592551     1
#> 528   36  10.3355141     0
#> 529   36  11.9077247     1
#> 530   36  20.4132823     0
#> 531   36  33.5896464     1
#> 532   36  37.8367219     0
#> 533   36  49.1445734     1
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