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date
stringdate
2024-02-07 00:00:00
2026-11-02 00:00:00
geometric_brownian_motion
float64
82.8
128
ornstein_uhlenbeck_spread
float64
48.8
58.3
merton_jump_diffusion
float64
41.9
147
2024-02-07
100
50
100
2024-02-08
99.8464
49.9673
99.8464
2024-02-09
100.219
50.2716
100.219
2024-02-10
100.6674
50.2209
100.6674
2024-02-11
101.5748
50.2455
101.5748
2024-02-12
102.447
50.2662
102.447
2024-02-13
101.6041
50.2289
101.6041
2024-02-14
101.6857
50.2087
101.6857
2024-02-15
101.3405
50.0453
101.3405
2024-02-16
102.4903
49.9998
102.4903
2024-02-17
104.596
50.209
104.596
2024-02-18
105.3768
49.9227
105.3768
2024-02-19
106.6907
49.8918
106.6907
2024-02-20
107.6172
49.6614
107.6172
2024-02-21
105.7906
49.5238
106.7634
2024-02-22
106.9171
49.6447
107.9002
2024-02-23
107.4193
49.598
108.407
2024-02-24
109.36
49.5094
110.3656
2024-02-25
110.0807
49.7615
111.093
2024-02-26
109.337
49.9068
110.3424
2024-02-27
111.3442
49.4922
112.3681
2024-02-28
114.3244
49.2236
115.3757
2024-02-29
113.5922
49.2463
108.2922
2024-03-01
113.1728
49.3835
107.8924
2024-03-02
115.9681
49.2482
110.5573
2024-03-03
115.1822
49.0915
109.808
2024-03-04
114.1185
49.1299
108.794
2024-03-05
113.1145
49.0749
107.8368
2024-03-06
114.3047
48.9612
108.9715
2024-03-07
116.0687
48.9584
110.6532
2024-03-08
116.7772
48.9855
111.3286
2024-03-09
117.2131
48.7951
111.7442
2024-03-10
113.6787
49.2222
108.3747
2024-03-11
116.543
49.1549
108.6722
2024-03-12
114.4109
49.0105
106.684
2024-03-13
114.1814
49.1653
106.4701
2024-03-14
115.2087
49.5357
107.428
2024-03-15
114.3953
49.4174
106.6695
2024-03-16
114.4237
49.5271
106.696
2024-03-17
113.5766
49.4431
105.9061
2024-03-18
113.0879
49.1252
105.4505
2024-03-19
112.5148
49.293
104.9428
2024-03-20
115.2054
49.1261
107.4522
2024-03-21
115.0602
49.1877
107.3168
2024-03-22
115.6735
49.1621
107.8888
2024-03-23
117.9629
49.2972
110.0242
2024-03-24
119.1696
49.4526
111.1496
2024-03-25
118.9151
49.8347
110.9123
2024-03-26
119.3925
50.0633
111.3576
2024-03-27
119.8193
50.219
111.7556
2024-03-28
118.9024
50.0548
110.9004
2024-03-29
119.7126
50.1477
111.6561
2024-03-30
118.8221
50.0756
110.8255
2024-03-31
120.7783
50.1907
112.6501
2024-04-01
123.3371
49.9809
115.0367
2024-04-02
123.5455
50.2611
115.2311
2024-04-03
126.0611
50.5879
117.5774
2024-04-04
123.3828
50.6441
115.0794
2024-04-05
123.6742
50.7232
115.3511
2024-04-06
122.1674
50.8207
113.9457
2024-04-07
120.1654
50.3379
112.0785
2024-04-08
119.0755
50.4365
111.0619
2024-04-09
119.1168
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2024-04-10
118.0848
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2024-04-11
119.553
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2024-04-12
119.1257
50.5162
111.1087
2024-04-13
121.2125
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2024-04-14
121.7828
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2024-04-15
122.168
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2024-04-16
119.0037
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2024-04-17
119.3883
50.3569
111.3536
2024-04-18
124.2795
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2024-04-19
124.1351
50.0848
115.781
2024-04-20
126.2047
50.0362
117.7113
2024-04-21
126.2328
49.9713
117.7375
2024-04-22
123.1928
49.9647
114.9021
2024-04-23
123.8439
49.9459
115.5093
2024-04-24
121.9577
49.7866
113.7501
2024-04-25
124.3715
50.0584
116.0015
2024-04-26
122.6136
49.9114
114.3619
2024-04-27
121.0326
49.7961
112.8873
2024-04-28
121.7544
50.0839
113.5605
2024-04-29
119.9852
50.2556
111.9104
2024-04-30
119.0032
50.5441
110.9944
2024-05-01
113.9371
50.7199
106.2693
2024-05-02
114.863
50.7776
107.1329
2024-05-03
117.6548
50.6185
109.7368
2024-05-04
117.0961
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2024-05-05
116.5459
50.4497
108.7026
2024-05-06
116.4739
50.4299
108.6354
2024-05-07
115.8468
50.6952
108.0505
2024-05-08
116.3606
50.7647
108.5297
2024-05-09
115.2936
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107.5345
2024-05-10
115.1277
50.5895
107.3798
2024-05-11
115.0123
50.8071
107.2722
2024-05-12
115.407
50.7382
107.6403
2024-05-13
115.4187
50.7535
107.6512
2024-05-14
114.7147
50.6413
106.9946
2024-05-15
113.3082
50.5772
122.4883
2024-05-16
114.6949
50.7722
123.9874
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πŸ“Š Stochastic Financial Time Series Benchmarks

A quantitative benchmark dataset curated and generated by Ramprasad Atluri for validating statistical and machine learning time-series models.

πŸ“Œ Dataset Overview

This dataset contains simulated continuous-time diffusion processes sampled daily across 1,000 trading periods. It is designed to evaluate model robustness across different market regimes:

  1. Geometric Brownian Motion (GBM): Baseline log-normal continuous diffusion process with calibrated drift ($\mu = 0.09$) and volatility ($\sigma = 0.20$).
  2. Ornstein-Uhlenbeck (OU) Mean Reversion: Stationary mean-reverting process modeling spreads, commodity pairs, and interest rate corridors.
  3. Merton Jump Diffusion: Mixed compound Poisson jump process testing model resilience to non-Gaussian tail events, volatility clustering, and market shocks.

πŸš€ Usage

You can load this dataset directly in Python using the datasets library or pandas:

import pandas as pd

url = "https://huggingface.co/datasets/At1uri/stochastic-financial-benchmarks/raw/main/stochastic_benchmarks.csv"
df = pd.read_csv(url, parse_dates=["date"])
print(df.head())

πŸ› οΈ Field Descriptions

Column Type Description
date String (YYYY-MM-DD) Calendar trading timestamp
geometric_brownian_motion Float Continuous log-normal asset price path
ornstein_uhlenbeck_spread Float Mean-reverting stochastic spread
merton_jump_diffusion Float Jump-diffusion process exhibiting fat-tailed behavior

βš–οΈ License

MIT License. Free for research, commercial, and educational use.

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