Reserve ranges
Bootstrap and Bayesian methods produce distributions of reserve outcomes around the central estimate, showing the range that could emerge.
GRA · Risiko Aktuaria dan Kuantitatif
Keuangan spasialTempat modal bertemu bahaya, keterpaparan, dan transisi
Uncertainty quantification identifies and propagates uncertainty in data, parameters, model structure and assumptions. On this platform it shows how wide plausible outcomes are for premiums, reserves and capital, and which assumptions matter most.
Uncertainty quantification and model validation characterise how uncertainty in inputs, parameters and model structure affects predictions. They establish how much confidence a model’s outputs deserve. In insurance and catastrophe, methods and modelling and capital markets and investment, uncertainty quantification shows where risk estimates are robust and where they are fragile. It guides where better data or models would change decisions. The canonical description is on STEM Commons.
Bootstrap and Bayesian methods produce distributions of reserve outcomes around the central estimate, showing the range that could emerge.
Parameter uncertainty is separated from the uncertainty of choosing one model over another, and both are carried into capital estimates.
Inputs are varied to rank which assumptions drive results most, guiding where better data or review would add most value.
Kerugian yang dapat diperkirakan per tahun oleh portofolio di wilayah terdampak, serta pada tingkat 1 dalam 100 dan 1 dalam 250 tahun yang dihargai perusahaan asuransi dan pemberi pinjaman, dari tiga blok yang sama yang digunakan setiap model katastrofe . Model pengajaran dengan nilai ilustratif yang dinyatakan, bukan prediksi.
Kendali
Pembacaan
| Periode ulang (tahun) | Intensitas (indeks intensitas) | Kerugian (% dari nilai) |
|---|---|---|
| 1 | 0.09 | 0.00 |
| 2 | 1.27 | 0.00 |
| 4 | 1.91 | 0.00 |
| 7 | 2.47 | 0.00 |
| 13 | 3.00 | 0.00 |
| 24 | 3.51 | 0.00 |
| 44 | 4.02 | 0.00 |
| 82 | 4.53 | 23.55 |
| 154 | 5.03 | 26.44 |
| 287 | 5.53 | 28.87 |
| 536 | 6.03 | 30.88 |
| 1,000 | 6.53 | 32.53 |
The model runs on the teaching values set by the controls. To calibrate it for a place, read it against these admitted layers and series, which this page’s map can draw:
Di seluruh enam pilar, dipimpin oleh Nexus Consortium
Datasets and records used by uncertainty quantification and model validation on this platform, with the role each plays and the label its values carry. Sources are listed in register sumber.
| Data | Peran | Label |
|---|---|---|
| Model inputs and parameters | Input uncertainty | ESTIMASI |
| Alternative models | Structural uncertainty | DIMODELKAN |
| Historical outcomes | Calibration of ranges | TERAMATI |
Tampilan eksposur, kerugian, skenario, dan modal yang akan diminta oleh pejabat risiko, otoritas pengawas, atau kementerian keuangan, beserta kerangka pelaporan yang mereka gunakan. Strukturnya mengikuti praktik pengawasan dan aktuaria. Nilai bersifat ilustratif: tidak pernah merupakan harga, peringkat, atau saran.
How losses from uncertainty quantification and model validation for actuarial and quantitative risk grow with severity, gross and net of reinsurance, against capital.
| Periode ulang | Probabilitas tahunan | Kerugian bruto | Kerugian neto | Neto, modal = 100 |
|---|---|---|---|---|
| 1 dalam 10 tahun | 0.10 | 14 | 10 | 10 |
| 1 dalam 50 tahun | 0.02 | 33 | 21 | 21 |
| 1 dalam 100 tahun | 0.01 | 46 | 27 | 27 |
| 1 dalam 250 tahun | 0.004 | 68 | 39 | 39 |
| Rata-rata kerugian tahunan | 3.1 | 2.2 | 2.2 |
Predictive distributions are tested for calibration and sharpness against held-out observations. Verification confirms that code solves the intended equations.
| Pemeriksaan | Cara pelaksanaannya |
|---|---|
| Range calibration | Stated ranges are compared with outcomes where possible |
| Dependence of inputs | Correlations between uncertain inputs are documented |
| Clear communication | Uncertainty is presented with each result |
Structural uncertainty and unknown unknowns are difficult to represent. Computational cost limits exploration of high-dimensional models.
Ilmu Sistem dan Pemodelan stewards uncertainty quantification and model validation for the Consortium and reviews how it is applied across platforms.
Laporan is the Consortium’s quarterly publication. What you know about this subject can become evidence, a case or a correction in the next edition, credited to you and published under CC BY 4.0 where it is your own work.
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