1 INTRODUCTION

2 SAMPLES  
2.1 HiZELS  
2.2 DAWN  

3 FORWARD MODELING OF EW DISTRIBUTIONS  
3.1 Brief Overview of Methodology  
3.2 Stellar Mass Function Assumption  
3.3 [N ii] Contamination Correction  
3.4 Mass-to-Continuum Luminosity  
3.5 Filter Profile Bias and Modeled Photometry  
3.6 Constraining EW Distributions  

4 RESULTS  
4.1 H 𝛼 Equivalent Width and Continuum/Stellar Mass  
4.2 Equivalent Width and H 𝛼 Luminosity Functions  
4.3 H 𝛼 Star Formation Rate Functions  
4.4 Cosmic Star Formation Rates: Which Types of Galaxies Contribute the Most?  
4.5 sSFR Evolution: The Role of Selection Bias  

5 FORECASTING NEXT-GENERATION SURVEYS: ROMAN AND EUCLID  
5.1 Nancy Grace Roman Space Telescope  
5.2 Euclid  

6 DISCUSSION  
6.1 Implications for Survey Planning  
6.2 The Major Role of Starburst Galaxies in Cosmic Star Formation History  
6.3 High EW H 𝛼 Emitters May Reionize Universe  
6.4 Implications for Low $\mathcal{Z}$ Interlopers in Ly 𝛼 Samples at $z>6$  

7 CONCLUSIONS